Created
February 4, 2022 19:43
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Tuning reputation calculation parameters
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"id": "ee8f053e-2707-42dd-bedf-2284bbd2f36d", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"settings = dict(\n", | |
" rounds=1000,\n", | |
" z=1.576, # for 99% confidence level using approximation of variance from beta dist\n", | |
" t=2.326, # for 99% confidence level using Student's t-distribution\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"id": "09a0999a-b49c-44a7-b3dc-be7d519cb155", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import math\n", | |
"import random\n", | |
"\n", | |
"import numpy\n", | |
"from matplotlib import pyplot as plt\n", | |
"\n", | |
"%matplotlib inline\n", | |
"\n", | |
"def update_reputation(is_success, alpha, beta, lamb, w, v_succ, v_fail):\n", | |
" v = v_fail\n", | |
" if is_success:\n", | |
" v = v_succ\n", | |
" new_alpha = lamb*alpha + w*(1+v)/2\n", | |
" new_beta = lamb*beta + w*(1-v)/2\n", | |
" return new_alpha, new_beta\n", | |
"\n", | |
"def rep(alpha, beta):\n", | |
" return alpha / (alpha+beta)\n", | |
"\n", | |
"def sim(rounds, data_loss, lamb, weight, v_succ, v_fail, dq_thresh, init_alpha, init_beta):\n", | |
" alpha = init_alpha\n", | |
" beta = init_beta\n", | |
" failures = []\n", | |
" reputation = []\n", | |
" confidence = []\n", | |
" for r in range(rounds):\n", | |
" is_succ = random.random() > data_loss\n", | |
" alpha, beta = update_reputation(is_succ, alpha, beta, lamb, weight, v_succ, v_fail)\n", | |
" if not is_succ:\n", | |
" failures.append(r)\n", | |
" reputation.append(rep(alpha, beta))\n", | |
" variance = (alpha*beta) / (((alpha+beta)**2)*(1+alpha+beta))\n", | |
" confidence.append(settings['z']*variance / math.sqrt(r+1))\n", | |
" return reputation, failures, confidence\n", | |
"\n", | |
"def run(data_loss, **args):\n", | |
" rounds = settings['rounds']\n", | |
" r, f, c = sim(rounds, data_loss, **args)\n", | |
" fig = plt.figure()\n", | |
" ax = fig.add_axes((0, 0, 2.0, 1.0), ylim=(min(r), 1.0), xlim=(0, rounds))\n", | |
" x = numpy.arange(0, rounds, 1)\n", | |
" r_array = numpy.array(r)\n", | |
" c_array = numpy.array(c)\n", | |
" ax.plot(x, r)\n", | |
" ax.plot(x, r_array-c_array, 'grey', r_array+c_array, 'grey')\n", | |
" ax.eventplot(f,\n", | |
" orientation='horizontal',\n", | |
" lineoffsets=0.5,\n", | |
" linewidths=1,\n", | |
" colors='red')\n", | |
" ax.eventplot([args['dq_thresh']],\n", | |
" orientation='vertical',\n", | |
" lineoffsets=rounds/2,\n", | |
" linewidths=1,\n", | |
" linelengths=rounds,\n", | |
" colors='green')\n", | |
" ax.set_xlabel('Round')\n", | |
" ax.set_ylabel('Reputation')\n", | |
" plt.show()" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"id": "8aa2275b-6d54-48ed-bc5e-d96bbfa7957a", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"status_quo = dict(\n", | |
" lamb=0.95,\n", | |
" weight=1,\n", | |
" v_succ=1,\n", | |
" v_fail=-1,\n", | |
" dq_thresh=0.6,\n", | |
" init_alpha=1,\n", | |
" init_beta=0\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"id": "971e3f18-6973-4b90-b05e-90f2000df0f7", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"param_set_1 = dict(\n", | |
" lamb=0.999,\n", | |
" weight=1,\n", | |
" v_succ=1,\n", | |
" v_fail=-1,\n", | |
" dq_thresh=0.8,\n", | |
" init_alpha=100,\n", | |
" init_beta=0\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"id": "d36ec0c9-5e0f-4c74-8118-78ca7892db20", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"community_suggestion = dict(\n", | |
" lamb=0.9995,\n", | |
" weight=1,\n", | |
" v_succ=1,\n", | |
" v_fail=-20,\n", | |
" dq_thresh=0.6,\n", | |
" init_alpha=1000,\n", | |
" init_beta=0\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"id": "4143da06-c085-4e48-8e5a-47d012fe8ee4", | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"new_params = dict(\n", | |
" lamb=0.982,\n", | |
" weight=1,\n", | |
" v_succ=1,\n", | |
" v_fail=-1,\n", | |
" dq_thresh=0.89,\n", | |
" init_alpha=1,\n", | |
" init_beta=0\n", | |
")" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"id": "1c01117f-a7f8-45cb-92f1-f33a09d587b9", | |
"metadata": { | |
"tags": [] | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
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FZphCTC5ZpPPcAH7y4x9BhoKS+oX4f772xSxEDiknKTeKouD/fO/HCI/1Q5V8+NKXv4JlC60vfG6h21+RLEdsVVXFP33/ZwgOd0MlGZ/57Oewtm1JVscQD58kakxToaoq/r/v/hjhsT6okozP/O7nsbZtca6HlRkFNu8HQ2F8+1+/BwpOQPFVQIqIHosCQTz6hkbx/e//ADILQ65pwV9+/ctpZn0U2CSSR7x39BQee+g+SIyhZslq/MmXPp3rIeU9krYXUjwoBFl8hqkgKxw/04X77v45ZKhoXbUZv/+ZD2fnjQlZN0wVRcHf/8t3QYFxKL5yfOOPvu5qyxN76BHT7E0+qqriH/79B1Anh6DIpfjjr/8BGuq8ESU3akyFYRoXVVXxD//2A6hTQ1B85fizP/qad1vAWMVDgmhOMDk9i3/+t+9AVgKginr89Z/8Af7+H/5R1MAJBDGc7u7Fz3/y35CYitolq/HHwqDJO3YfPI7f/PoBEAM2XHg5Pv6B63I9pIJA3wt5sad7cRmmOTBaihFulP4MxBjatuzAZz/8gSy+e3bTEhRFwf/7r98DBcaB8lr89Z9+PWf1k/GQtBpTJUtjYozhH//jv6BODkEtqcT/+rM/QklJbtKI46Gr8npBpdhrqKqK//dfvw82PQy1pAr/+xt/JOpJPUYgGDKM0tLGxfjzr33RpCQq1jaBQKe7f8gwSpdtOh9f+OhtGbxabjKxip239h3Gc08+DAKw46ob8cFrLsn1kAoGwzAVEVNBoXNuYBi/vPvnkBjDhh2X4+MfLFzvFmMM//jvPwBmxsDKavC//+x/5EzkKCHapjUbBe7cKP0hlIlBKP4KzxmlQLTGVBER03n843/8kBulpdX4X3/2hwVklBZGjWk4HMG3/2/UKP2Lr38p10MSCDzJ4Og4fvTD/3LIKIVXxP6LisMnO/GsZpRecu2tuOkK0V/WSaJ6G967uItsd+a9E1BIjE9O47/+678gQ8XSDdtzY5QSZa01xL/818+hTvHo0l/9qQeNUkQnn7Df/bF992cPIjLeD8VXjr/0oFEKAD5NGp0Jw3QO//GT+6BMDGgOhUIySgsDxhj+8d/+E1J4GnJ1M/78a1+Md1D2BybIO1iBXyeBYAjf/d5/QmYKWldvydwoNSjs781L9A6N4sH77gYx4MIrbxJGqQsYNaYe3LeK3YfAERRFwb9+9/uQWQS1i1fhix+/I9dDcpW7f/00ZgbOQpFK8Jd/+j+8u5Gn7NQR/OrplzFy9jhUyYc//9M/RFlpiavvly76ZCwM0yi/fPw5jHadhCr58P/88de9ey2nTf6n4f3HT+4DZnlmxl/+8e+b0nc5TDhdBSlQVRV/++1/AQB8K8djcQvGGP7Pd34AWQ2jeuFKfPUzdzn0yuL+yhbTswH84Ac/gMRUtG25EB+4Jl/V4L2NXublRb2NQtuBCHLEv/74HkjhGcjVTfijL+ZSYMD9BeSVXe/j9IFdYET46u//nmeNMACQNElwxcV2MbsOHMPhXa+BEeELX/iSpyXcfbLex1RsNADg7f1HcPK9t8GI8OWvfAVVFeW5HpLz5Lm2wK+few1j3aegSn5884/+wMiCmEcef0aB+/zzD34OOTKb62G4ynd+er9WWlOLP/nyZxx+dXF/ZYN/+d4PIath1CxZhc99+NZcD6dgkfS9kAdrTL1nKgvyjkefew0z/Z1QyI//5+tfmefNzyouv/XQ6DhefvpxgIAP3vUxLGxucPcNM4QkvcbUnclncnoWv3n0VwADbvjgnWhb0urK+ziF7OG6imwzPjWNpx9/BADwgbs+hqULct/eyB3y91wfOtmBA2+/DEaEz3/hCygvK831kAR5yBMvvYnZwS4AgJrjsbjFEy++idGuk1DIhz//o686vA/J3zkkn/jxA48bmh1/8iWnHQsCM9EOBd67tovLMCUS04vDnOrswftvvwwVwOc+/3kP1BW6d4YZY/juD/8bEhhWb7sYF25Z79p7OYW+OLvVLubfvv9jyFCxaN02XH7BFlfew0kkvcaUimvqi8e/6+du/XbszINrudgIhyN46P77AAZcccMHsGLJghTPEBEdt4lEIrkegm26+wax9/UXwQhQJO9m92RC//AY9r7BP+Pnv/BFdxw44vZyld0HjqPn2H4okPAnX/tKrodT8Miy7qT3XsS0CFN5xeziFIwx3H3vvZABXHD59Vi5dGGuh2TUVLrBjx94HFJwClRRj8986CbX3sdJDOU12XlD7O5fPw02Mwq1tBpf/kR+1BRHU3mL2zD98f2PA7PjQFktvpIn5y5t8jRt+9//+x7ILIyqhStw/aUXpDiaxNLmModPduKh+36OBas246u5HoxFVFXFj37yU0iMYcslV+PAvj2gUCjXw3Kc7//oJ5DAsG7H5RYcOGlA+V+n7mUCwRCefPQhSAA+8KGP5n/v7DxAL/PyYo2p90YkyBt+dN+jkCMByDXNuO26y3I9HBPOLyCHTpzBuRPvQ4GEP/5q/rRpIJfaxZw+ew6nD+6CCsIf/t6Xcpu+bQPdMC3mma+juw89J7hn+o+/9uVcDycrZEup2yle2XUA0/1noUh+/NEXP5X6Cflx++UtqqriwQfvhwRgZHgw18OxzH/98hHIkQBK6hfgwzddlevhuMKPH3gcUmgKVNmAT3ygcNvTFTL//uNfQIaK5lWbcNE2kb2TDWQPZ495b0R5SiAQwOnTp3M9jKxxsqMHvacOQoGEP/zyZ3M9HAM3DCTGGB566EGAAdfechtqqiocfw+30COmTqfy/uKX94EAXHTNjWisr3H0td3E59PqKjw4GWeLn91zLwjApdfcJDzTHiQQDOElrY7945/8FHw+q06l/DK+84kf3vcoZCXIf8mTyFlHTz8GTh+BAgl/9tUv8AfzxIFolc6efvQc19I/XXUYF9b35iXe3HcYgaFzUKRSfPXTTqkoC1IhG+1ivHdtF1kqr3sn4J//6xdQxvrwl7IPhVnFEYUxhnt/+UtIAC6++gbUeGpz63wd8d2/fgqyEoSvrgVX79zu8Ku7i26oO5nK+6unX4YUmgZV1OPWK/NLyl2WtSnPgwX/2eCXjz/Hz11lA26+cmeuh5Md8mwz/r2f3QcZKppWbMSm1W0Wn5VfnzGfON3Vi/72Q1AhQYYKVc0Pw/Rnd98DYsAl196IUk37odBUNn52D3eQXnrtzaiudFFRnPIv6yIfiEQiePY3j0EC8NGPfzyx4rjAcUTEtMA51dkNdbwPRMBUef5E09Llwd+8ACkyC6mqEbde5THDxOF1d3hsHKcP7YUKwte++DvOvngW0Cd6xaFU3snpWRza9TpUAL/3hfz7Pnx6wX+eGStOMDI+gRP734EKwte/5J0sB/fJn3N9srMHU32dUMiHr37mwzafLTbObvDze38JMOCya2/O9VAsc/+TL0AKTUOqqsctV14U/UMBzXu/efltUHACrLwWN19xYa6HI0iD7/78QcgsgprFq7Bl7YpcD6eoMPRHPOgM8N6I3MSlOfmBRx4zfg7LhR2EnpkN4Oi+t8EA/N7nvCjn7exJ/v5P74UEhrXbLkJddZWjr50NDMPUoVTe7/7kHkhgWLr+PLQ21jvymtlErzFlBbRBs8oPfnYfv5a3X4yGuvxJvy4m7r3vAQDANTfeajN6UHzXczZ48qW3IIemIVXW46YrLgRjAGPebrgyGwji2L63NGfq5+b8jQgF4b8IhcLY9doLYAC++Nks9E0vwvXCbXoGhjHecwoKyfjDz38i18MpOrzc072wrah5OH8CTnd2QZkcNn53ygDwKt+/+0FIYGheuQktjXW5Hs48nKwx3XPoBJSJIaj+Mnzqjhsde91sQkbENHMf1LEzXQiN9EKVS/DFj92W8evlgqhhWlw+ucOnOhAe64fqK8Wnbr8h18PJLnmyG3/ixTchhaaAyjpcc/F59p5MKNwGlTlCURTsfuMlSAC+9FmTAJXHLyV9jV6wZluc+n/vbULT4ft3PwQZKhqWrcPS1mz0Xy6M780Ox053Yf+RE3DLZPzJ3TwN+8IrrrVRRy9wimgfU+/ZLOJqyJCHHn8KAKBKfkhquKAN076hEUz1dUAlGV/55IdyPZz4kHNtE5584nEQgNs/dGfeqM7GImnjduK6fOChh0EEXHfzrXn7ffh82veQp+NPl4d+9QgIwE233pa35y5d8qGuTlVV7HnzZUgAvpxWBCg/jO984sf3Pw6ZKahetBKLW5qMx5mHPQA9A0OY7D0DlWR8+RO3zz+gAO79kfFJjPWcggoZX/2dj+R6OAUJYwz33XsPJDXsyuvvPnAc6tQI1JIK3HbNpa68hyA5uviRF/U2iits4DCDw6MIjPZBhYSKhlYAgOJB74NT/OSXD4EAbNlxqWc9XE5tQp99fRek8Ayosh47Nq115DVzQbSOILPr8o29h0CBCbDSalx14TYnhpYTjPQVD07GbvHq7gO8nUJFLS47f1Ouh5N9yPum6d2PPQOZKahqXT7HCBLkhkAwhN72Qzwd9rMxMSMP2/8/u5ev0TsuuzZuKnghOKV+ePcDIACbsrkPKYDvzQ4P/OYFyMwdoxQAnvzNkwCAD39YqPDmClnbCyke3Au5apgS0c1EdJyIThHRX8T5+3IiepGIDhDRK0S0xPS3fyKiw0R0lIi+Q07MqA5PLg888QwIwNK1myFpG3+n23J4hdNnexEe7Yci+fGRW67J9XCSkPk5ZozhzVdeBGPAZz6e3x5ZyaFU3uefeQqMAR/9aH4vJNGIaW7HkU1efO4ZMAZ84qN2xXQE2SAcjuD0wb1QAXzlMx9L81WK6ILOAj/65SOQwLBwzWZD0dbAo+1iOnr6EZkYhCKX4vbrEkSh8tzAOts7gODIOSiSHx+7Ndv7EG+ed6dRVRVH973r2uu/vucg5PA0qKIO29atcu19BMnxFaMqLxHJAP4TwC0ANgL4JBFtjDnsXwDczRjbCuBbAL6tPfdSAJcB2ApgM4ALATjUHdqZySUUCmHo7EkwAB/7wPWGJzLs0Uhiptz38KMgAi6+4hpve10duKKffu1dyGoIvtoWrFq2KPMXzCFGHUEG7WLe2HMQUmQWVFmHTavaHBpZbijR7k8vTsZu8NLb+yBHZiFVNWDdiqW5Hk5u8PJ8BeBnD/+G18stXZd+j2TRzsIxpmcDGO46CQUSvvjR+emwzKPf8z0P8lKLy6+5PuExnl67LXDPg78GAbj4yuuy+lny/Xuzwy9+/QxkKK4lrD//7NPCUeoBpGI0TAHsBHCKMXaaMRYC8ACAO2KO2QjgJe3nl01/ZwDKAJQAKAXgB9Dv4lht89wbuyCBobSuFTU11SDNAGAFmMrb3T+IyOQgFMmPW7zWHiaGTJP2GGN45/VXtGhpfkcHAUDWI6YZTD7PaxG3j971IYdGlTui4kc5HkiWeOWl58EY8KmPFe8mwMuJvKqqovvEQaggfOVTd+Z6OAIAP3ngMUhgWL5+G/z+GEczwZMR0zM9fVAmhqDIZbjxsh1JjiQQAUrWRuYc/cNjCI/3Q5FKcOtVF6V+gqN4eRZxDsYYzhzZBxWAXNXo+LXyxt6DJkfpktRPELiG3+fdsiY3DdPFALpMv3drj5l5H4C++78TQDURNTLG3gY3VHu1/55ljB2NfQMi+goR7SGiPYODgykH5OTUsufddwAAt95wrTYW/lVGCtAwvfehx0AAtu+81PuewwzH99I7+yArQcjVjWhb1OrQoHKHfl2m26tq14FjvNa2vBYbVy13cmg5IdpU2uPXsQO8s/8o5EgAUmU9Vud55D8jHBREc5r7nnwBMlTULlyB8rLS9F+oCK7nbBAORzB89gRUEH73rlvjHsM8aJje//DjIAIuu/rapMfpYnhe7F2Yip/f/zDfh1x8WfbfvEhur1898wpkpqCyZZkhjhNxsAXi8889VzBO7nxHP79e3Avlenb6BoCriOg98FTdHgAKEa0GsAHAEnBj9loiuiL2yYyxHzHGdjDGdjQ3W5MMd+IUdPX0gkLTUOUSbN2whr+uoX6a66/UWUbHJxEYOQeFZHzohitzPZyUEFFGe7TXXn4ZjAEf//CHHBtTLtENMTXN2uenn3kWAHD7HR90bEy5hIh4wMODk7HTPPMsj3R/6LbCOHfp4tVTzRjDifd3gwH4wiczjZZ69EPmGfc8+jQkMDQuWzs/WmrgLcN0bHIKobE+KOTHTZdfmPxg7WYI+fzJj/MYE1MzmB3ugUI+3Hn9vK1gFiiO++vQHt6j/ouf+LBxrTilm3L4VCcoOAVWVoUNK4u0rMRDeLmnu5sFkT0AzFffEu0xA8bYOWgRUyKqAvBhxtgYEX0ZwDuMsSntb08DuATA6xmNyKHv/4nnXgEArFi/xTBIybiJC6vG9N5f/xYEYMXG7TYbvucKzUEAwO50erS9E1J4GmpZNda2FUaaiX7OWBrpGmd7B8BmxqD6y3He+tVODy2neGtr6TztneeA2QmoJRXYun5lroeTY7y38ALAs6/vhswiKKlfhLrqqlwPp+hhjKHj2PuQAHzxEx9KcmC2RmSNnz3AM5rWbUuWwsshh42NbHH3w0+CAKzcdF5OsrY8nynmAK+8ux+yGoavthWN9TVR3RSH9rSPPP4kiIAbb7rZkdcTZIaRPebBfb2bI9oNYA0RrSCiEgCfAPCE+QAiaiIyit++CeCn2s9nwSOpPiLyg0dT56Xy2ifzyUVVVQx0tQMAbrs2mlJCeZwikwhFUTB09iRUED512425Ho4lpAwcBI88wXvSXn1N8nSofEJP10inXcz9jzwBImDnJZc7Payc48WCfyd58DG+CbgqRWpfUeDBGhoAePvN18AY8OkPx0ovpEERbJzd5rk39kBmCsoaF6OyvCzuMcz0fy+gKArGzp2GAgmfvC2x6JGBXnIk50/EVFVVDHTy9OpP356jfYiHywGc4pWXXwJjwMfu1DJstGtFcSC6PjI+CXVqGIpcikvPK8KWZR5E71DgRb0N13ZnjLEIgK8DeBbcqHyIMXaYiL5FRLrU3dUAjhPRCQCtAP5Be/xhAO0ADoLXob7PGHvSrbHa4fCJdkhMAUqr0NhQbzyuq58qeeaJTMbjL7wOCSoqm5eitLQk18OxhpSel290YhKRiQEo5MfVO/O3T2csRh9TmxvX2UAQM8M9UCDjA9dc4sbQcosHJ2OnmA0EtdQ+H6695PxcD8cDeO9kt589BwpOg5VVYdniloxfT5Pey/h1ipm33uCOgk/ceVvS47xUY/rQUy/z1OMlqyxlNOmHRHz5s0957IU3IENFdevyJOnV7lLo0kdd/YNAYBJqSQXWLOfZYvqe1olOE/c8wiPe67dekPFrCZxB72OaTjad27h6lzPGngLwVMxjf236+WFwIzT2eQqA33N+RJmfgGdfeQsAsHX73A2fHvjNtF+kl3h/zy4QAz51V/7UqOkLiN3J9L7HeE/aVZu2F1TajlFjavO6fOA3L0AC0LJyQ0F9HwaF+Jk0fvn4syAAi1cX6LmzCZH3Gqk8+NhveGuPK6925gWp0LfO7tLZ08/r30or0bY4meidt77lowf2QgLwOx9JbkwbaPsUp9Izs8H+3e9AYsDvfGR+656sUeDz6H0P8wybiy411e86lPatqiqGu9pBoBz0nhUkwq+3zsu51NB88md2coIM5xZFUTA5cBYE4IYYkQHSI1MFosrb3nkOUmQWrKwaSxZYE5byAvp5UGwYpowx9HecAAH4xActpEPlEboX3a7D5MzRA5AAfPrOW1wYlQco4H3G2ROHIAH4zIcK9NzZxGvGeSgURnC0F4x8uM6xiLa3PmO+8cCj3FFw0eUWBP48EjE90t4JKRwAVdShobba0nMk5JcWRnvXOUjhWaC8Fq1N9amf4BYem0OcRFEUzAx1g0Ge04bHqWvlyZffggwVFa3L4XMg+ipwBp+s5dl48NoWV4kNjpw4BYmpQFktqqrmilXotY2Fksr7699yNdYLL8qvNE5D3MFGXcSb+w5BZhH4alvzJ2XZItF0DeuG6ftH2yGrIVBlA2qqKtwaWu4ggBXoRv6d/Uchq2HINc2orCjP9XA8QrR3oxdm54efeQUSgMa2Nc4ZzR7cXOQLqqpiZrgHDBJuTqVqC8ArKdOP/uZpEAHXXmejjlzfp+SJgfDwk8+ACLj4shy0iDFB8F7WhVM8+vzrkMBQu2TF3PlIFz/KMO173653QQz49F0Wo/qCrODTHA5Fl8rrNTLdBLz81h4AwLqN84u3pQJK5VUUBVODXQAIN1+5M9fDsYehJGf9PLz08isAgA/ecoMbI8opsmRflOs3zz4HALj+ugJOu/HeXOwIL7z0MgDglpsK71pOF6OVlyR7wjA9dvA9SAz49B3ORbRFIm/6/ObltyGBoXrhCmt7BA9YKIqiIDQ2AEY+XHHBFsvP0zNo8iGVV1VVzAx2g0HCjZelVhx2E69lXTjJgff2QGLAJ++Y27c3mm2VvvjR0OgEKDgFtaQCi1oaMxqnwFn0VF4vOjW9Pzt5BMYYhs91QgLipl+RYQB4YeuTGU+9+g4kMFS0LDMibvlC1EFg7dKemp6BOj0CVSrBtnWr3BxaTtDPn2rRKxaJRBAaHwQjHy7ZXrjqeV5MX8mUcDiC8CQ/dxdsXJPr4XgGo+2Bz4dc50N0nhvQUhNrUG8x/dISBXg9Z4u9u3lE52OWHQW5t0z1KFfdEputoAyRRu870J946S17DgM3ybA/ulfpHRqFFJwGK62alyqt72kzEcq6//GnQARs3CZE+LyG3+fdPqben508wrm+fkhqGKqvFM1N8z0/RipvAURM9+7eBQC469b8aBFjhmymn/z62Ve5UMyqdS6OKncYvaostkd5/MU3IYGhYZEHNgMCW/z6uVchAWheWngOlkxwuh9fJvzqSZ5+udPhEgkieMFeyjtGxydBgUmo/nIsaW1KeXwmJQDTM7PYe+hE2s83c/C9vVxB+PabbD1Pgn0Nhlyxf89uMAZ83AO18kbWRY7H4TQPPsYNx60XzI9IG4KeGTgxBs+2QwXhwzdelfZrCNzBZ+wNvbfP8/7s5Cjp96J66e19AIBFy+Jv+qLiR/ltmE5NzwCBCShSCVYtX5zr4dgm2kDc2qXdfvQgiAEfubWwRI90ZKOOwNp1efC9vQADPponfWvTxntzccYcef89HvmxuVkteIwNVu6Xu4n+LhAIt5hERpyhAC/oLPDAk8+CCFi3ebv1J6UpfvR//uXfILMwNvr8yKT6e2Q8mh7Z2tRg67lGFIxyfy8kY3o2AAQnoPrLsLgltcPAbfS9e1j2eaIcwClGznWAQLjz+ivm/S2TnvAAsO/IScgsArmmJWdtfgSJMfRHPLh05LcVZZNMHANnTh0HAFx9Sfw+TIYabJ6n8j763GsgAItWrM31UNKCjFSl1BNh/9AIKDwLVlqJxroat4eWE4waUwsX//jkNBCc5JsBC9GDfIUBBZf6ODI+CQpNQy2pRGtjDtUrPYiexZ7r3o17D5+AzBSU1LU6n41QYNdztujtOAUG4CO3uFtPrygKZBYGAARKSjN6rQeffA5EwPpN9vttG5ldHu9j+tBTL4IALF+9IddDARCNHuaLmrEVDp/q4KKP1Y1xe+Dqnznd8rTnXnoVAHDdNSJa6lUYgyfXjqIyTNP1KgcCAaizE1BBWL1iedxj9Alflb13ku1w6uhBAMCdN+en8E00/ST1ZPqr3z7PF3g73vI8w04T5Yd++wIIwIq1hVtbqlNoWY+PPPUSiIDVGzbneijewyOCL8+9yDdq1149PzqRMR7cXHidnoEhSJEgqLwWpSV2BF7szx6Pv/iW8XOmabS6Mf3hNIxp3YGeaW9Ktzlz7DAYgI9+wCOZTHo5gD99ISCv8dvnuFDeFQkUj3UnfzrzJmMMM8O9UCDh4m3ecC4I4uPFDgWF4/6xQprf/5ET7SAAvqr6hGJAuugOy+OI6eDIKCg0A9VfbjtFyCtE009Sn4eBs6chAbjzBhc2ih7Bp12PqoUa0+724yAAH7nVRvuBvIQKbiPfdfo4JAB33SS807HoirW5bOXFGENgtA8MEi7e6vxGrZDbWbjFI799AUTAlu12hFnSKwc6uH+f8bOdVmax9A2NQooEgfIam8Y0x1Ba9bBhOjQ6Dik8C1Za5Zl2ZdE2dIWzZZ4a7AEg4aqd8SPv+rWiplFj+vb+o5ChorRhsdCq8DiixjTnpHcC3nnvEABg1ZrEAjmSdvMqFkVmzLz5zi6Ul5Uh17plT7zwOoiA5Wvy18NliBSk8PL19A9BVkNAeQ3KyjJLrfIyhvhRiojp2MQkT2suqUR1pTc2AwJrDI9FN3JVonfpPNLpbew0r+05AAkqypqWurJRIw/2ovM6Q92nQQDuuM5Gj0wC7FqmiqJAnR0z0tNCGRiFjzz9IoiADVvsp/ECpnvBww50PftjzaatuR6KQaGl8u4+eBwyFPjrFyacj4x65DSu11deex0AcON1wlHqeTy4dBTGXeYyAz1nQQAuPz9xiqOk1/LZvIkVRcFzzz4LtbQq54bp2VPHQQy4I48V1IxUpRQL7+NaGst6Dy1+buDzaV7PFA6TR599FUTAsjXrszGs3OPByThdHtbTeDeKNN54SB5IX3zz7XcAADe5tlErzHYWbtF5bgCyGgZVJM6CcoqnXn0XEgAVEiSoGYlw9XeeggTgjjhiNVagNPcp2aSn4yTP/rjxylwPxSCq7O3d780OL732BgDg2isTX0d6FqBq83pljCE4NgAGGeeLtmXex4MLR5HVmNpndnYWCM9AJQmLFy1MeFy0f6a9k/z+0ZOQoIJCsxmNM1OmpmdA4RmovjI05LEQkCHukCL9pK+zHQzA7dddnoVR5Q6fvqikmHw6Th4DY8WUCuq9yThdes6cBANwVx47lFzFmBNyt6kMjA5AgYTt691p5WNkinhwk+FFnnz+FQDAlm3n2Xym/e/3vX17AQD+Wi4ol66DZGB4jKfxlqWXxgt4P5V3YmoGUngWakklyj2UyWQ1EytfmB7ugwrCRdsSO6L1YEvEZqeJ3QePQ4KKisYFGY1RkB1SqfL+64/uwbNv7M7OYDQK4y6zShqL9oHjp0AASmriK5fp6H+z2i9S59W39ROefoVQKBTC8ePHsSXtVwB++8rbIAALltls2O0xSE698A6O8AWelVZ5avFzA71XVTJV3snpGVB4Gqq/HHU11dkamqf5p+/9N2rr6/F7uR5ICqZmZnkab0klKsrLcj0cTyLlOA3v/WOnIUOFv869jZoR0ZHkgmpn4RYD3WcgAfjA1Ren8Wzra7WqqlCmR8HIj8ryCkyPp1+n+Nhzr/AU1wwEzqIOdG/GJB57nmfutHmsrzjZ0K7wOic7eiCzCKTq5qRlBUT8s9q9Vl5+nQt9XXnZpekPUpAdyPhfXI60n8Vk72m8MzaCbDahKyrDNB2BiL3vHwEArFqdvH2K0ZbD5k081teVcdj6wd++iNMHdqG+qRVL0nyNY4e5Gu8H8jyCaKSfSIkv7ceffw1EwIp1G7M1rJzhs6DK+5uXuVNicdvqLI0qtzBQUi/h8Ng4ZoZ6MDU2lL1BpckTL7wBImDRiuI4d+lg1EolmRPc5PlXeL3VJRdd6Np7GIapzw/hnkjO2OQUpHAArLQKJbYjj2Srj+kru96HBIaqBUtMIlzpXYfdHacgMeCODMT6JI+3tWs/fhTEvNcVwJhDCkD86LcvvgIAuOCC+K0PdQzxI5vXyvRwLwiES7bnr1ZJMZFsL/Tsy3ztYmn2bk4Xb7rN3CKNLKfBc10AgJ1bkhumpBkAdgzTgaFhSGrY/qBiOHWUizN1Llya1vPD4TDY7DgU8mH54sTpyvmAkX6SJJW36/RJMFb4abwAIGs1pkgSyT9x9DAA4IM3eKemx22STQW6sWdnA5orTh47DMaAOzxUj+U1KMepvBMDPVBBuGrndvfepABVQ93i8ee4Y7ItnXp6m+JH7+7eAwC47srLDAGdcBpGYSgUhhTiWS2VGWRGeDmVNxyOgIKTUH1lqK+pyvVw5mC0ocuRc8tJRs6dBQNw0+U7kh4nSfbnzY7uPsgsArmyQajx5gtJztNoL7d/sr0XKi7D1KZlGg6HwULTYACWLl6U9Fi9ttFOKu/zb+wx/ZbeiZ+dnQWFZwCkv9i8se8gCEB18+K0nu8lKEWqUjgcBoWmoMqlqK8t/LRVvx4xTXDpM8agzoxBIR8WtzRlcWQ5Jslk3HHqeBYHkj5c7XMcqlyC1sb8bO+UDYz0xTTaHmRK7+AIZBaGXFGXtBQkUyQjYpr/G2e3Oa3V038orZpse3uI2dF+qJCwbd1KI+qWzjr9m1ffAQFoWdJm+7lmjH7rHkzlff6tvSAAjYvi94rPJYUifjQ6PglJCQFltSlFvwzD1IYj5ckXXgEAbN22Pd0hCjzC6MQUJCUIAGBZbkZWVKsY2WxfeLa7hy9DpVXwpVjw9bYcqg3xo1Mnj/HnpNkbDQBefvd9Y6lM1zDdtYf3WLv8EvdSzbJFqvSTl97ZDwJQvyDdpOf8Qhc/SlRj+vb+w5DAUN6Y35FyeyS+RyMR7rXneDtiytMEgarW/HcouYlhEOTAaPvNizwVas36xIrujmAY30W1pNtGURQelZNLXY/KdfYMQGYKpKpGEJHJQWJ/nT504H0AwG3XZyZwJhn7FO8Zpu/tfw8AcNM13qtNzOTceYknXuTZQMtXp1bLlfQe6LL1Pe1gTyckALdedVG6QxRkEQYkNIoe00re+IHCMHUNvcaDwZrfc++RkwCApoWpjRhZspfKq6oq1JlxABKYJAOqaul5sex/f3/0NdOsG5ke7gcB2Lkl/1uFpPJK793HjfDrrrgka2PKJT6/9j0kmHzeeHsXAOCyS3dma0ie5qV390fnBm/bpdi1h6t9Xn+ljT6MRYiR3k/Z31R2d7SDGPDBa93dbEcjOkW1pNvm9b2HQABq03Xm2PBs//al1wAAmzbzlmR6MlU6xo0yNQJGPixf3Gr7uWai4kfeM7CC40MAJKxfsSzXQ5lHJtFuL9Fx6rhWxpS6Tjlaj2xtTgmGwpAiAaj+ijRqtwW5IlE2XefJYyZjSaTyuod+AiwuLqfbzwAAtm9MXl8KmPqDWTRMj7d3QAKDv7pBG5j9E8/7RQ0av9uV9QaA3v5BrtBWVuN6P7dsICcRd2CMITA2CBWELevyW33YKob4UYJrfmqoFyoIl2wrfCEoA0JCz9SevdzYS89NlF1mRweggrC1SK7ldCGjH192lztFUQAtOlddWe7qe+W6jjZfeHc3v7+vujT9iI5VCcW+s6fBANyqKf9G6zvtOQ8On+R7hbK6ZlvPi0d0DN7a+p3p6YPMFG0/5D2M+8uDBr1VGGNQZyegyn5LLQHtCno+8/q7IACtS7yXii1IRPyNEGMMLDgFVS7hs12WnfTemp2yRLLWGWZmx7kq5+a1qTd+esQ0kQEQy2u7eNrK6rXpy6Kf6eqBBNW4ZtLZlDz7+rsAgLY13pJnTxdd4pzFST/p6OmHDAW+quIpzNdrTOM5Y4bHJrhTorzG1fq3fCIwNgQVBEYyvBwyHRwZh6RGIJXXFs21nC76tR3J8qby9b2HIAGobU2uT+AExmcUEdOkTI/w/o0XbEqdypgJiqJAisxC9ZWjrLQEgEn/wKZR+OIb7wAAtm/blvG40lVadZunX3oDALBZiy57Db1UKxflAE6x6+AxrhBtsb8o2cwCPHSAd3a46arCF5UsKOLsH3YdOM6vlSZ+rWS7xrS4dqN64b+FRN6pqSlIahgqyaipse5dsmqY9nZ1AACu3rktrf6qAPDy2zwtlcr4+NQ0DNPOdp6ufPMVhVETYERM46TtPf86X+DXriseGXM5SR/TZ17l38fSFauyOqbcE/9+GxwZ44Z6RW3CY7zCU6++xZVFU7SxEpg241mOJuqKrFdmEJ2zjKHK685nfG33fjylzRf5ysj4BCQlDKm8Jn1njsXnvfTue1zIx6RlQGk6SIZ6u8AAXH/J+baeFw8pDS2MbNDfdQYMwC0erU1MJaqYD7z+Fi/buWRncjVeHVm2FzENTgxDgYTVy913xAnc5Y13dwMALtpxAey2yHKC/L3L0kCfiq1ETE92nAUA+KvqLC1isg1RgXA4DASnoJKM1uYmbWz2T3x3x2kAQPMCPhHYnTRVVYUamIRCPrQ2N9p+fy+STOL8XCdPzb7xiuKpp5Qkic8pcTYi7Se5+uxNVxZHvW0qnn6Fb7zbVurRFO9GTDtOnQBjwK1Xe08oxGtIRpprdpe76ZF+qCDs2OS+80BKIX7EGMM77x2y7DiN5eWnHsfuV55Ne3xe4MkX3+TOnFWZnA9r39++fVys6EpT7b5srE3Wo26RSARSeAaqr9yRuj3ZgxFTVVVB4RmocpkRXfYa5OE2O1aZGOyFCuCy8zdbOt7QTbEwb57tG4AMBf4qb6ZiC5IQZ0obH+gBA3DFBdauFacpKsNUPwNWDLhDx0+DMWDhYmuF+IaCmYWF/8DxdhCA0tomzei1v1ngRuUEVEioqOJtT+wapodOnHGsdsUrRFOV5n4XqqqCBbkRXgxtYmKJNbEYY1Cmx6BAxuLWImoTAwCguLdcR/sJAMDNV1/Mj/GoXcpb/IxDlXxobqjN9XA8Ty42lVMzs5CUMKisOiup1rrGQaIemT+452E8+8QjeOiG222/du/gSEZj8wod7bx/9QeudT/VcHqUOyW2r49mo6QTdXvxnfmR10xItD7mkrf3H+WCVM3eVYaXXKgxZYyho6vHsddLRiAY4q0/Sqosl+0YrYUstEB8+qW3AADrNhSRVkXBMHd9CgRDkCJBMH+l6VoRqrzuoX3/ViaXnu4uEAEbVlkzTHVPJCzc9O/uOwAAWL9+w5xx2eHE6bOQwCBXN6btBX19F08F3rixcCaTRJHrA8dPQwJDaX1LLoaVe2I2x6e7eiFBhVxTOE4Jy8S53xhjUGbGwUjmPUEJWU9fscphTTitpL4Iz10aSEnS+93i2dd3gQhYsDQ7QiCpxI/6Oo5DBjBWV2f7tZ955a0MRuYd1JlxMElGU33q0pyEUGqhwslp7pRA2dyUYSkNB8m+9/YDAK6+zJkUVzuZXdniHU1dfOeO83I8ksREFWqdczL94J6HMXjmCK7YcRmudexV4/Pi2/tABDQvWmr5OboYppVrpberA2DALVddnO4QBTmAxdkMPaOtXc1L20wHilRe1zDaxViYW2YnRwEAa9useSqT1fLFMnCuGwBw+fl6bzv7k92r73Kjcs269ZBk6ykXc8bR0wkAuGZn5qIKXiGRR/i1t3nO/JatW7I+Ji8Qm8Kn19tuKCCnhHXm328nO7iQWGlNY8JjvMKrb/PaxU0bc5Nmk29Ea0yzt9wdO3oUAHD95dnZqKXqsygzBQBQHpi1/dpnz7QDyA+l6kR09g5AgoqSDFVfycK88Mxr74AIWLh8xZzH0xEemtXE2JxS3o62tfPO/DY+2AsG4NLt3l2LyIUU6P4zvI997wL3I8UHDx0CAFxtoy2cIfhkwTBlgQmoks919XGB88TaQ0eOHAEA3HAFX7viGa9uU1SGKQyvcvJAcSAQgKSEoYLQ2Git9tKqKq+qqry+FBKam9Kv6+zt4vWS11x0nsmbZ33SVBQFFJqGIvlRW1M4qa2JDNOhvm4wANdd5F2vrKvEXJZ9XZ1gDLjhsgtzMx6P8ZImDLFh46YUR+aegZ4uMAZcd0mRXss2MerOsxglCk4MQwVh1bLsCIEk67PYMzBk/GwlLS8WZXZCf5e0xuYFnn+NO+JWZ6o+T6lN0+PHuFPi5ivn1n9H12lr54CnX4aAkkrH0sGN9TEHPX3jEQ5HjN6XXm5Xl0y7Iu3X1Fw9JYGAY6+ZiBmttdjG1dYzOPRrhaWYM06dPcdLwmqLrSSoMIidWQLj3Bk2JyhXSO1iiOhmIjpORKeI6C/i/H05Eb1IRAeI6BUiWmL62zIieo6IjhLRESJqy3g80FXGkk8uPb19AACptMrygiD7tJs4xaLT2d0DAoNcaRJVspAeZIYbt9NQSEZLU4PtflMAsP/IKRCAigJLB4w3mSqKwgUk5FKUlZXmamg5Jnod8x5Vk1AlH2qqKnM4phwRZ3PZ160b6juMY7wIY4w7tmQ/KiuEd9oK2RZ8GZ2Y0lr5ZJAyahMpibDOC6/vMn62m8LZ3T8IOa9jpZyezjNgDLgpC8J3oclRqJCwfPHcshH9HFmN3L/4jv30y1ToUbB47dRywcu7nK2hdYtUGQl2meMscnlemp7lgRaysZ8FTFmAKa7XF9/gLQfXbVif/iAFucN0TcwGgsa1MpcCSeUl3lDyPwHcAmAjgE8SUWyuxr8AuJsxthXAtwB82/S3uwH8M2NsA4CdAAYyHxT/R01xbx48yVNc65ut1yPKhkGU/MXf3HcYALBkeZtpWPYWiVMd3SAwIy1JThAlTMZbe3gf1S2bvB8hsoNPm+TNCpz7jnIjvKqhWOtL56Zr8PpSZkpbFbDApJaKVGE8lo5SttscO9MFCQzlwjttGclmP75Meea1d0EELFnuTPqlFZL1yDyrqbcD9qPGL77BSyC8dyfYQ53lqYYZC9+lWN8np2c1p8T894m2MrPYF/Ig3ytccdEFNgeZGKNuMI3IuRvsf5+nmF5+kbUWJrkimok19/z/+tlX8fqeA7Zf7/kMnEV2efb13Vq9e5ut51lN++7t6gBjwI2XFU+3g8IhpsTrrb0gAlrmib4WjvjRTgCnGGOnAYCIHgBwB4AjpmM2AvhT7eeXATymHbsRgI8x9jwAMMamnBiQ1YjpmU7eKmb1ijbLr23VMO08zet1LjnPVB8WXyQ0IW/u5RPhipVc8Y9sFKnrDPX1QAJw5YWFU18KmGpBTOfh3T37AQCbN3m3hsV1TN/Hy1qN4uo17jaZ9y5zb7iOc/2akFjD3GM8yCtvcUNh/Ybi6cWbKXYjVZnSfpKrO19/ZfaEQJKVc4Snx6A/miqjJ5ZOvb5ULgMp7qccukFHdx8XeqvO3JmTyon8wlt7QAS0Lp6fMqk7D6z2050eHQQBjtWXAoDPY+JHU6MDkACcv3F1roeSFMOpIEW3zIqi4MA7r0D1leMKm6/X1XHG+NnteemYllp+rU3D0Yiup3BisMAkmOQX9aX5SIL60qsuvnDOQdnWgXTzjlgMoMv0e7f2mJn3Adyl/XwngGoiagSwFsAYEf2aiN4jon/WIrCZYUh+J//YEyODAIBNq60p8gKAZDQjTrxwMcYQmhoFA7CmzZyeY28T3K3147xix1YA9iOmjDEgNA2FfKgusFROX5yU6sG+bjAGXFVgRrgdzBHTnrP8+rnuUm97qV0jxnn08pvc2Fu52rQ58qZdiv6es2AMuP5S56IohY7h+c9SlIinchKWL8xehkYixdfxySlIqgKF+IbarkESmRmHAhkky169JVLyoubMWb3GgX6yKRzPx45xQZurLp4/t9pRxA2FwpDUIJiD9aVANCU13X62TqKqKq8v9ZVnpaVSJkhxyqV2HTzB7wlmP9U9PD1m/Oy2kyAwPjy/ZtACRrAlyfjaz/Zq9aUi+ypvMd16M6ODWi3ysjl/z/bdmWu32TcAXEVE7wG4CkAPAAU8knuF9vcLAawE8LnYJxPRV4hoDxHtGRwctPymyZRzGWNggWkAwILWVsuv6ddqe5JN+OPjE5CYAuavgM9nClbbmJQZY4jMjEMFYemiBQBgu8a0/WwPbzdRVW/5ffMFfeHVHQS8Jm8aquQr8pq86DWmzExAgYymetEDEwC6NEfP9ZfO9RJ6EZ5y7J+TcixITjZ7N84GgpDUMDCvRsddjHYxMcb3c2/wCJ4uTGJHjXVodBwyU+CrrIVX7wcr9HTx0pzrHRB6SyUHoavorl853wiwcx2+uueAVnsZ68vPDDstQNxmzyFu2NU0Wt9n5Yp45QC7tVY+dtHTvRUtj8HJ3qixKIoCSQ2B+e2vF7K2R022X371Xd7qZ+XqYs2+ynei5zYYCicRWyuQGlNwI9McFlyiPWbAGDvHGLuLMXYegL/SHhsDj67uZ4ydZoxFwFN8z499A8bYjxhjOxhjO5qbU4v46F92stSJsbExEFSokg+lpdaFcmRjckl8E+87egoAUNe0IO64rDA8MgqJKaCyaCG73RqqN7SaiLaVq1IcmX/4ffp3wf/VjfDSmszaBOQ92iV2bmAIMlT4KutyOpycEnO/RabHoUBCS2NdwmO8QHffIHcoVReeQ8lNpCymL762+wCIgKYF2VHj1UkUMT158jgAYM1aHi1MlZZn5nmtvnRJ2wpP3g9WiUyPQYGUWf9Sg8TfQ9BQ0a2Iu6bLNtbpA1p96UXnb09vmAnwyd6JmL6zdz8AYOtm7+tcRDPiouduuO8c/8FmnuMLb3JnEXf42Lsn7fLGvkMgAPUt9lvS+IyIaeJrpftsBwDg+ktEBk++89oevnY1zlu7CqtdzG4Aa4hoBRGVAPgEgCfMBxBRE5FxV34TwE9Nz60jIt3avBZza1PTQl8sWJKPrSvy+uKIFyTDSh/TQ0d57dGGdel7l958jy9YzQujHtloipC1C6hLE8PQU4ELCb1tgr7wvvoO7/fqSBpXnsKXTf59vPw2/z6Wta1IeHwxMTw2ARlKAkPdW5IvL7/DvdPi3NkjHXG4dDl4mM/POx02KFKRyDDV0/gWtfKl1M53cEbTQ7j24gttC/R5hamZWUiqAtnmep6QJGvsq9rGrqE1fpRTV+63cg7Gh/vBAFy42dl1S+95brfW2A2G+3vAGHDlhd7fhxhOBXNQIzSd1msdO87TvZeu4LXDios9Zfe9fxAAcN42+/3brQhl6U7dpgaRfZWfRK+9g4d5LfKO7fHuxwKJmGqRzq8DeBbAUQAPMcYOE9G3iOh27bCrARwnohMAWgH8g/ZcBTyN90UiOgj+7f3YqbElEz86ebYXAFDXaK8+SF90ki1cowP8tS+IKfQnIsvn/dhxbtzuNIknRXuoWjud4ekxqCAsW7wg9cF5hk+eW0ulp3Fdc/F5ORuTF9BrTDvOcKfEVRfNS0AoGsyb7Ffe5erUC5csS3iMV+g8w1OOr764eM9dOmRTlXdieAAMwI5N2U1ti5cmGolEeFpxSaVpk2n9ug5MjEAFoW1Ja95GTF96m7dcaVnoTMuVZPOCvrG7cHt8LQOZrF2HjDFQeBaqVOJ4b0+/L7UDPWsEp6FKfpSVluR6JCmR9Gw7bY/V2TMAydi02du06+neC5rtO4vsMjrQBwbgivPtR6WN6HqCPe30bACSGnHO6SPIDdrpHRvk18pFW2Pb/li3T5zCTVVeMMaeAvBUzGN/bfr5YQAPJ3ju8wAcdaXpc3Ey8aPuc9x4XGrTaPNJyRd+xhjU4BQAQlNTbKG49UVienQQEoBt66LGrR1RhdExXjfESqs9LziQDrHqyJGZcQASWhqLOZXXVEcwOQoCoW1J4TklLGPqY3ryFE+vv/SCrQmP8QqhKX7ulmVRVKcQsJtRki6MMUiRWahymeMGRSqMPqamNeDt94+CANQ2t1oSMjGj16apfi6OR2Q7Y9ETHD3OU5kv3bndmRdMpiEx3A8JwEXb1sX9u9UaU11Qxl/r/JqlX5e5TuXt7OFK6L48KbGJrc196e3d0T/auC+i91VFVPXWJcOUOzhm0nZw+FJETF9+Z7/WZ9fbPWgFSTBNAwmvFULWJ//c53NkEz2VN8mkPDbMGx+vXWavRki/iRMtXAODQ5DAIMVrcmxxkYhEIpCUIFTJj5KSqJfRSFWz8Dpvv8+9uvPzyAsD2RdNVZqanoHMFEhl2RUi8SREWgQlBOb3vgpitpgZHQIDsHF1W66HkpRQKAxJCQMlQvTILtH50d3l7tDJDhCAyvrs95iNpitHNxXvaT0it2zcaGSSWDVIdmuKo7VNuhPE+fnil489jQPH2x1/XTPTo4NQAWxd60zLlWTzJoVmoEr+hEZANJU3+Xf52i5ebrFqlfNRd92BnutU3ld38UyV5Svyoywh1vnf3dnBf4cEO5bpnsPafdXY6roQ1amuzBRz9b1Uov3p0aN8L3npBdvTen2BF+DntvMczwAoq4mnX1FYNaaewxA/SjIRRAK8ZeqiBfaiEj5fck+kLnxU3xInUmVxs3CqoxsEoLR6rpfR57O+2BzVUoHPywPBgXTwmYz0t/bzeq/GNAr/C5G9h09qi2KRR9x0BxVjkJQAVF9Z2s6ibPHW/sMgAuqbxbVsF7cjEzpv730fALAmB/2BdakGc8R0ZKAXjAGXX7DZtEZYu673vM8F8jbr/XIdjjaPjE/g1Pu78Nhvn3H0dc3wCHYAzNF2JAQiILZBiBVhMsli26IeTVDGjfITn0cipl2aYXdlnpSUSDHOrbBWW2n3e9yj7Uk2rF/nek/ZN3bvBxDtd28XX4r0/8nRQTAA29YXnohmsfGKpl+xvM0b57KoDFPd8k9UbB4MBiGpEagg1NbaK+Y2IqYJvAtHj3PDdNP6+WIGVpMGdx3kHqply9vmPG6nT9/E8AAA4IJN3m5onS6yP7rwHjrCRQa2b92YyyF5AyLs2c+FEDasj60hKC70Terh9k4e4aqdH+HyWkT5vQN8Q7N9a2E6lNwkW4Zp/7luAMBVTqWN2sD4jKZonaq1ySorLYGsq4pajBoP9Z0DY8AVO7hoitOJ7a+8y414Fok4+rpmjraf5fd3nXMRbL3WMLYc6NV3NVG5mLXZjC+Osms8wtPjUCGhpdF59W3Z6POd2/ktqPX6XbYgdTcFLxC9v8io3abSCtiNJg31RQWf3O4p23OW62tcfdH2tJ7vlxI7sxhjIK1swWtrpcAG2rnTHUXXXhrHUZSD81tUhqn+9SbaoAwNDQMApBL7HtZUheITw/0AgO3r5qcUWX2vrk4+0ezcumHO49H6oeSvwxgDQjNQyIfy8sLs6SlT9LsYH+LKhjs3x6/5KTaGNHn7K3fYV+grLPh98vYevjlevSaOk8aGIFk2GBvqB2PApduFYWoXWY724xseHnbtfcLTE1AhobHOibYk9ojWL/Jrm6tNq/BV8rHofbOtboLVwBRUyYeK8jL+gMObk1NabTdz8SZ7ex+P+q5a5UwaLwAjchyW58pzdHZ0AACu3Jk4AqhHTJHEMA0EQ5DUCKi0MrNxJkC2mdLtBqqqGiUl+YLZ+f/ugeMgAuqM/qvWr2ElMAlVklFVUW5kMbgVMQ1NcZHLhc1ppvL6tXHFcWad7uqFBKDchTpoQXYhcP2KZNcKFYoqrycxlNXiT8qnurnwUXl1ne2XTpYiwxgDC81AhYSGhjheULK2Dw5OjoABWLV8rhy9bDFNq7efpxv5KrK/ccoWfiOlWgJCM1DJXj/aQoSBAOKLogIZVZXFXaeoO4J6u88CAK6OE+HynPSRFv0qKfHneiR5h57eP7KgGd/73vdwavFyx98jqoCbm3sr2iOT//uKFsFbsJirTfuSRD9iGRmf5EataZ1wOioyNca1HNwU1ejt7gIAXHFhfJXcdNDnhbBvrmFqKBgvbo33NACpUyMB4J39R3jKvkvlJ/4UJUfZ4P1jp0EAqhvyp6TEXGP63sFoOq4dxVKuYqtA1jQv3EyrdsL4N+aMOMN7cy93+ixva0v79QUegPjeUFdv9wpFZZhGa0zjixN0dveBMaBlgX3FUiPVI87fRkZGIYGBSivjLvB6fVCyBYunGYfB5FLD+60TbZqd/HS+tZ+3gl1QwCpq+gYtVF7KlQ2r6nI7IK9ABBkq5AJ2StglMjMBBRIa6+Ok7XsoPWlsYhISVPgqhCx/Okj6prKSC8adXOZgBE3DiKI0JTZM3ESKEcA7dYqLCl16Pleb9tlI4XxjD990tiwyO0Dj11amC4Vn+XhcdMSHtLZorQ6mxJL2PUfkqINIV1pNZQT4LKjyHtDKT+KV/DhBdK+Qu/nt3ff49bVubf6UE5nV/of7ee32lTu2aMk31i7i17Q+t02a8KTkYonB/mPtIAA1GRj/fl800ySWLq0O+ooLt6f9+gIvwF1tBKCmMUFavUjldRcjlTeRcm5/P4iA5YvsG6aGwRnntQ+e4im4NQnUGvXnRpL0V9XrZcrjKKzJFnuTnW7nm5ULCrhOzafVmAareeRicUx/ymJFv7SaW4V4jp5Kx1PmEkS4PGSYvrGXq6s2L1ic4khBPPxaZEK3yRQXWrnoUZSNG3NTvx2rGjo9NgwGYNOaNgAmgTwLS/4Jzag9f0t0nZAsrFFW6ekfSrsHpFW4sRgG/M5GsI212hf9HnQ15qr65PWSkjmbJwGjg9w5ful57qzRXhA/GujtBmO5qcVOF7OCrp6Oy9PcrX+PR47y1kXnb+WlNFYi6Omy+z2+ZqzNQIhN31fGEz4LTnCnz9I8qREWJEa//NasTuQoEoapqxgR0wQLw8zkGABgRZJ0nGQwFj/t4dhJvtCvWBlfGt1Y7JJsmPYd4p7UeKkTPkmrG0nhDZ8e460xtqyd/xqFgu4Rlnz8u9gpavKgRzsAYOvmDckPLQIIWgYLJfYoeymV9/hJXo9XqErabhPbvsMNw3S4n4sFXe6SQZEKPWKqi/JQJABVKjHWFjspnJMjXG3zgo2mjYpeW+nLvPX5q7v2R39xKWT63lEeMapOFAVIF+37C0vR72H3+9wpsTrB+q7jt9AuRglMmYwe5/HbrDV2g8jMJFSSUFvlndTBVOhGpOLzzUnHtcPE8ADXvNiyVntN91R5+zXj/8qdW1MfnIBE1wpjDJIaBPO5c40KsojRoQC4Ykf614rTFJVhmqzGlDEGNTgNAGiMVwdq8z3MDPbz2tXt6xIsXPpiJyde9Hs1xccdW+Z75A0vaJLNtKqq2mZlbg/UQkOfTPWa3Q2rnK8ny1cYAy7c5E6KWF5hukfXrkkgj+4du9TY0OzYnD+pb15CjybqKA5E/WLRDYrKitwIuujGN5Mk9A6O8NYlpjIGo4+phVReptXmmw163VET8mVe49zZcYa/DwPcipju0Xq4rl3tbOseXUlVMUVM+7S1+bIUonJSimglFz5SIJW613fbn6I3pduEwxFIagSSS+JObqGn3Y431oEIaGzR+sATWRaGib2vdCEqN85FZGYCKkmoq07/WvInuF6PnNbVrtMTVRJ4D5Uk1NckuFaIkG0lyOIyTDXieahmZ2dBTIUKQlVV+jdzPOMwMjMBBmBpghRh3autJDFMg1PjYABWLJmfimkYpkk2HT39AyAAJZX22uDkGz5zuwRK3Oy8qNAuC1WSUVpauE4Jq5jrvC89b3PCYzyTzattaGJrywXW8PnmzgHJIlbpMBsIum5QpEKWdP0ECW9parQLF0e1BIx5McVFPT45NU/4CIjWVqpJ1iirzI6PQAXPLmIuRUwHensAZBYxioc+d4RNBnpoalyrZU2uUGq030hwDt7WhY+a3atTNqJ0OZrc9h4+qWWq5FcKqJF2W8HXzy2b7aXsT83MQmIq5PKoToDuJHD6XPA09syVneUE9cjvavPLyjT7owq8gz6fURLRvlxkjxWVYUpJ+kaNjY3xH3ylmSkQxnyjRm9UqSThxtJY7PzxvdGKokBSgglfw2fUAiQ+nbsP8vqGloWLUn2CvMZsmPorhdCPmXTSjwoTbRMPStjaQ58rlBxbp6PjE5rwkbiW08UnxabyOmvg7zl0ghsUORI+AswRU8Lp0zwiuWNbtH+z1VTeaD3z3HUiapBl/t2REgST3VVKj8xMQkVmEaN4RJ3I2vfJGBc+spDW6DNFteNxUBM+2rzRvfZmhqNW0lP4WHTvkwXeP8w/Y8JMFY9ilAgRj/RfZGSuWVsf3tx7iAsftUaDE8n6hGbCe0dPacZ/Zv17JUniWQ0xc8a5bp4h4KTatSBX8HNbnexaoeybpkXlgtfvr3gR0/6hEQBASXmmC9ncU9jRzXtHliYzklIIS3T19mnRzvivYcXzdvp0BwBg64bCTuX0mdL2Ct0Itw6/Luqb7Yt6FSISEVcXTSKMom9AQ7IPuey298Y+bii0LBTCR+liOO40nK7pOqiJmuRys22IH5GEqdFhEIDNq9uMv1s1TI+fPAkA2L5549w/GIZpZhko57Q0Y7mqFuHxQVdqTFVVhcTCUF1of0DS3Oym4x09IAAVFvo5yimUkQ3hI5d1ERiLJub99pW3see15/G7C5bCea3q+QxovbQvPT+/emnrabdEgAIZZXrmkUXH5THtvtq0IRppTdYnNBN0PZJVK505o7F3aGh6HATCgibn1K4FOSKl8FFuKLKIKf83Xo1RVx/vq1Zdl+HNFjNPHTh+GkByI0mvW4kk8EbvO8LFT1oWxH8Nw1ueZFiTo/zzbV2bXKAh3/GbNk7bNwmhHzObC9wpYRltY1iVQCUbMAuS5dZ3p7f9ENdy+hgtMrQJUpWdXfaGNA0Bt5RUrSAbNaQSEJ6BKs0tYzDWiBT76PHhAV6LvnlubaZRWylldj+8/d5BAMACw9HivGGqK9hXWTAW7aJnUuhChbu0z7N8eWotA+McJTBmlMAUVJJRXpaFvtvaGA4cOAgCcLItO06V8MwEVBAaavOr9ZXfdC9JiZTckzA6yO+ri7dGDdNkfUIzYaCXG/+XOWT8x6pIkxIE8xV3b/hCgYhfg1cmEz4S7WLcRQ9Ix1sKewe44dbanEH6A82vMe08y5t8b1id2HuVqsZUT83atC6+V0MX/EnqeQvNQIWEiorcNIDPFsYGjAHb12fDB5wP8Ovroq3CuAGi88DKZB5loy1Ebg3T8ZEhMAacv9FbHs18QhckUsO8C2ciVfZ0icxOQgWhtjp3gi56jWmotAQSWNzUb64an3yTwYKzUKX59czkUMT0zJkOAMD5W7SIrAslpnsO8H7dy5e3Of7aUozDqrvrLADgkgtS17Imi1rzukAlcfsqh9HHEJga4+/vgjLsvPc00p5zmYOSHuZMrGpzfazFTbsa5E6HMpPGQ7I+oWa+/Z0f4v/+8BeWxxqa4q1cmhsc0hMxDa+rfxASgDLRH74guOCCHajsGUZ9EkdRRqWNaVJchqneJFme/0WPjgwDAJYtzLAoP+alp8Z4ivDGVUsTP8VQ5Y2/6E+N8rFtTdDmxVjwEqQITUxMQoIKyqE4R7YgIjAGqCpQWiq8egCA0gpEwixniqFeo7aBqwlefkF84SPAWgunbKAGp6GSjJKSzNVQi5XaqkpcecMt2LifR7ecTOXlm+0wmD+395asfaaJhjoAQMuCBP2Kk2wyQqEwJBa/FYaewhqRM7sOJ0d5y7JthkK985ZpTw+vgbvIhQi2UXuuRbsCk2NQASxfGL/tlBlfAjEZANh//AyvC0ySxeEo2hAoEgTgTgulWI53dFtOe/Yakskhs3pVrEMz+TXMlYiVeZHWZH1CjVdmDMHRPoz391gap52aZ8uYrte3tdISs7CaIH+57frL8Y0ffzf5QXqLiyxSVIapPhkzzJ+Eg9OTAIAlrZktDPN6PoVmoAKor0+cIhytW5k/LsYYWGgaKiRUV8f3aiRb8ABg/zGeTlzrdE83r0JAydhMrkfhGb74ybvwOw/8MtfD8Ayfu+sWfOSBB9HalHiDFE99M9tEIpGsRlEKmWsu3YnyaT4nqA62izmqt07I8WZbbwejlvPrdcuG+KqhySKmew5zEafaOEIYFKdNSjqwYLRlRrL2Zmbe3X8Y9z/+jOX3CEyOWjYW7RJdq7V+sZqQk5Wogi9Ju5j9h44CAFa0Zam9GRGGxyYgaTtON1ooxbJrPzdqli9f5vp7OY05ldecIksWhGH0+6qmce71aKWn7JmuXlvCM2fP8e4LZdV1Np6VAtMAOjs6AAAXbNkY/1hBwZHsCh+bnML37/6V4+9ZXOJHuhpnHA+VGg5AQnID0i6zs7OQmAJVLku6cBmLfhzDlEc7GVgS6e9U9UOHjp0AEM/TV5hs2noetvz5/wTwf3I9FE+wfNkyoP1UrofhGSorK7Hp2NGkx0RryXI3RR44waMoVfWiX5wT+JQIAGfbxezW0kaXLWtz7DXTQY5RDd2xKUH/ziQf/dBRvk6sWjlfh8BIYc3AgJkNBCExFVRuSjO2IH70zOMP23ofigTBpBJXUtAkSTfQfYZhJ1VYq5dMZoj0aXWBF7ksfKTDALz13iHjd6frruPR3cUj2Zec72wLn2xgtIthQFO9OU0+9TV24DAXR1sTU86VqE+omV0H9HXKWsjqLS2iuXhJ4gw9W8SUp02NjYAAbFqdf84FQZokuT7f2X8Eg2eOOP6WRRUx1Req2IkgGAxyAxKEysoM64RML322pw9AYjVd4yl6mlQcYYkjp3mNalWSZsZ6+mqiC2h4gI/jgiKpU/vonbdj/ckTuR6GII+x0lvYbd7T1BVXrGjL2RgKCUnVo0POLXs9XXx+vuT8xGnh2UBXHibiNbSJ+xUn3mQM9HERp4vjGEfJnKdW2XXgGIiAukbnI5k6gyPjkMDgd6lfd3StlvH2e4cBAM2tCdKmYyjx61oQ889BcIqnBC9qyYITivgYTrWfNh7KRo1pYHIUDMDyRe6df7fQeyGzkDr3DxZ8H4Pa/iu2Z7bPglJ219mzNkYJnD3bCQDYuc3B+cg0PBaKZjwIioQk1+dJ0xziJEVpmMaKX+h9vCjTHqb8VYyfDrfzSaWpJXl/u+iiP/90HD3JT/yyZak9VIkmuPDsJBiABS1Zql8RCPIcSdJTeXNnmPad43VFF2/LndprISFrEdNEfSTTITA55onNts/kQKEk9a7JFEBDmmJqPNGUaI1p+veDnrkzt61O8kjQ5LS9kgw9CuhWqzDJZKC3a6KEG9cliE7HoAtUxVun3YzyxoMRMD48ZPzuZHp7IigShCr5cyKmkimVZaVQATScG4j5S+rPEpoej9szO1VAAQCmxke0n6xFTKfHR8AArF/pXA2ofr3OzAYgMVX0Qy8ykl3ho0ODbnT8KrJUXt0wjUnl0nuY+jPsYcowd+E/q3nTV69MXjciJ1EA7de82FsstHmJd32oqgpJDUOVS4w0JIFAkAIjlTd390xwahyELEVRigBZVQA4m8pLkYAnNttm1dDy2gTlKFqkLBGkhMDk+IJxUhIdBKuMDPYDAC45T69PSy2q8e77x2y9h65gv22jO62xjFReScLYyKDWWsfae8kJUjeNlGCXorzxIajBaUNtI55T3ElmZgMgpkIuz+ZndA6/34ev/t7voWHZMuDnPzAet3Lf8/sqUQbD/E4Oc/4WmtUPskZ4Fir5XJmPdh88zjMempIHWgQFRpJrKTI75cq1VmSGKf83ti9Tdz/3HFbV1mX6DnN+mxjhr7uhbXG8g01P05qjxzEcA1NjkACsXGrBAxxnw3WufxAEoCRO+wCBQBCfaFuI3IkfcWGV7EVRCh2forWLcSg6ND0zCwkM5IEIgs9kMC5ZnLi+LFHEtG9oFBIY5Kr4hkM0qyf9LUN4ZgoEQl219n0RkGrHfUzr42uVidFh3l5pg7Uopl3MKc1KYBpEkq2+o7xlz9zH3jJSghc4Ns6UEEFSI1CJIIE5qlQdj12Hjruexu02CxYsAMLhuQ+mUCwdGZ9MWYecMNMtHIHEFEv3SfR4FShzuEesNrwjJ/i9uGZV6iCJoHBIqo/jUvunIguhJYiYDvJ2LA1OCB+ZTqISmAYD0JKiN6ruhY2tMWWMAeEAFJIttj6Jo/anKfI2Ngsvl0BgFb21lNuRhEQMj2m1chX5GWHwIlJES+V1yNDfc+QkAG+ones1pgBw/pb4iryc+J/9nf3cOGpN0GZGcuB+IDV55Cgeo1qU1SpKcBoqSa61V9Ijx6osa22C0mjLEXP9tbdrfcrXu2NMx8IAML/MbSqtrYjbqbzHTnDxvdVxhLXymVSavO9q4kWNLUmcDgleYt+RU1bbpAIA9h9rBxFQ7aBYHgOM63VYuxcv3ib6oRcTRBKIACXm8Z6BIa2nrfN7lKIyTA3xo5iZYHSEp/K2NDqnyBsKhSCxCFTJP69ZeSzRxW7u6Zic1LxtJdbaRcTzhp/WGpqvFV4ugcAy0T6muUkq2X2QKzkKh5JzyKoeMXVm2Tt2XNtse0CcymhFwoD1K5LUlyXY6J4+w42jrQlSYA1HTRyBPivo6ar+CnuKpuGZKQCWxHuNnrJIx1i0iG6gDzQ2856cNfb3DLGOkfHRIU1J2Z3043jodqjeVsTtiOnQADdqLio0oyaF5agLTG2cU1dt7TUOHOVrgNUs3oPHuKOszeF2PPr7h6Z5DXpDnci+KyYMIcgY59W7+7kab8tCa+JvdihOwzRmIpiZmgAALG5xImLK/+nt50XyVupWE534o2e4vHpVnYUeeQnqh8aGBwEAW9cJw1QgsIqUJL0+G7Sf7gAArF0t7lun8Km6+JEzEdNBbbN94dbcb7Z156eqIqGWgDn6EcuklgJ73vr4yu1yTP9Ou+w6wGtFm5pjUzmTb7tJDVl+j7O9vGylvNq9LAP9uz23hJfnLFqchshMzClQAlNgNlOCM4OMy2CBtqmMLW9yGt2oiRUAyntSGKa6OMyOLesSHpMovV5XyVbJmjNIbzm0Y4uT8xEZn5GUIJiUu9IWQW7Q7ZNQTE/3jk4u7rp1feJrO12K0jCN3WxGgrzAvKm+zol3AQAc7+STRK2FtIpomtRcw/TICe5tW7rUWk+qeEt8JDAFBqCpwblosEBQ6Oj7tIgvNwvxiOZQuiBRP0qBbeQwj5g6tQnnm22gpbHOkdfLBL/WikSaSW7IJTIDleAMWJIUWKOvb5opn6c0UaK1a8y9HJPX541NTkHSDrCS0rjnIE+bbF3gjiIvEF2rAzW8rdwFm5OlTSci+mH0KC/zZcsojcIAtDbzNHS3SxZSCQDlK6lSeSOzk2AkoaoiQR1eEkGyoDa/QJJBFuKmgalxMADLFjpfWjCl1dP7yh2uXxV4H4rfoWBCy/TYvn5lvGdlRFEapuaIKWMMUHhBe3W1czfdmbM82mnFqCST0p+Z/j5u3G5ZYzFqEjPBKYqiKfI60QZHICgejLrvHPVrC89MQgWhvkZsBJzCx3jEVHVoLuQRBG9stqvKyyBX1OLSt95MchTF3QRbMY4SOU+tMjrEHS0Xmg25FKIuepRV1Tb/Sorz1qn1fNzsYq2mnklBJRJPm15pzWlsxhwh6x8aBQEoTdHr3A1Uko0U8NgWek4yMq6ncRfeXEZJsi+sOh0S3QG8hZAflpqlAqBwACq5oBBO0dKS+qbc19MLsouR0RljmKoB9+r5i9MwNU0ms7OzIDAwABUV1mo5k7yDMYeMaAvxurbUqT5ygkju7OQ4AGDFUos53DHzUU/fgKbIW3gLgkDgJpTjVN5CjTDkEn9YM0wdOKfjk9M8guCRuZWI8L/+5x/jxrdftf3c3sEREJKLWOiGabrfXWSWO1pqqsxrbIr6PC2dXW9hE04RrdXTkbevc96Dr6OnNEvEDTvZrqEeEyHbfUhLcU7R69wNqKQckhYpZbJ7jutdWsufwqyX52nRapy/nBsYTnlf8ZeY/90HgyHeXqe00lK6QEA/vqzS2rBtQTh+imfvrfJAPb0guxjZMqbsMcYYJBZJ2jM7E1zddRHRzUR0nIhOEdFfxPn7ciJ6kYgOENErRLQk5u81RNRNRN9zaDwA5noHp6Y0cQUHetGZPV8BrW51qYW0Cn1xmCfFHw5AhYTy8vRO/vvHefpUYw4WPYEgn8llxHRsgqcw+kXalKNIWh9TW1KXCdh96AQAoKEAIgh7DmqGQ5J1wvCap3k/cEVee+mqI4NzdRrCKdLqlcCMq4q8QHStBgCUpCeyZI6Ynj7Do7zrVycRx3GJypoGyBk6HKzQrgkwrlvlnsMgV0T1QeZ/f3sP8zmiuTXF/ivOdPT+8dMgAmosKuzuPXwSRG4ohPPB6eJVOz1QTy/ILvo1HjbNfZ3neNCrrMaden7XZiMikgH8J4BbAGwE8Eki2hhz2L8AuJsxthXAtwB8O+bvfw/gNcfGpP1rVuUdn+AGpFzqkOWvv3Q4ABVAVZUV8aP5qbyzs7OQoAIl1sbFMF/U6YxWnLy2wCTaBQK3iUaIsm+Y6hsakTblLH7FuVTek+15GkGI89l1EYv1qxMbDrK2KUnnuxsc4b24S2LTVYmS1s6FtHR22c8NzUgSdXvuwXdXkReYa5iWp90mwbT/0HqdX7A5e7Xk+v5n0aJFRsTX1VRe/TNuyZ7qcLaIbtrnX5sdWmr5mpQG+fx76rDWXmfpsqWWHGlHtOPdUORlFBWvaqovMPEqQUqiTsmow2/fYZ7a3eJS72U3I6Y7AZxijJ1mjIUAPADgjphjNgJ4Sfv5ZfPfiegCAK0AnnNqQHotpzmVt3dwFABQVu5UCgQhEAhAggpmsbbT2ASbPRI9fQAyWfyii97mNcvTfg2BoBiRMowQZcIJra/hqhXivnUSf4RrCTihyjsyxKN5OzY7r0iYbca0deL8jfEVeQEYkbV5WT0W2KNFlxvnKfImR1cBTaQKaaazd0BT5K2zPT47yCYDriXdTCTT5aenOCcUx3GRbZvWwefT2gy5GDHV6+XrqlM76fONZNfm+DC/r3YkEbDTDb9Y+vv4/u8CY35JLn40NMDno/NdmI8IQpG3mNHbWYZNe6GzXVxDZ71LWRBuGqaLAXSZfu/WHjPzPoC7tJ/vBFBNRI3EQ4j/F8A3nBxQVPwo+rH7hscAADW1dU68A3/NAV5faqVVDBC/fudIeyeAePL6Sd47xggOz3JF3uZGC+1mBAKBAcnzsxiyhd7I/MIt6Sh+ChIhKVolmAPRoeD0JFc7r3evNYnTMFDcTXBkdgoqCNWViTUWJC1zIJ2UTz1zZ1VbrKMlsYNgcnpGq+GtimYUJXES7T/CezimbSxaxNyKZ8OaxIZ8ImJb9pAazkktOWPAxpVLo6m8LoojRkV8ChBDGGb+5wtr91U6TofZyTEwAG2LWkGUSvsXmNUUeZe2Ntl+r5QQaYq8hedYEFjAqDGNOiUn9PZiG9wpQci1+NE3AFxFRO8BuApADwAFwB8AeIox1p3syUT0FSLaQ0R7BgcHU76ZZNSYRm/z4dExAEBTo3PtVE6e5f2naq30H50zrujp6OrhiryrVqSXmsEYAykhqORL2NdOIBDERzLS67MfMQ1NT0IFCq/nX44p0dTXE/UNtEUkCJV8ead2Hm+0Vowj3WuuptFWRBcCnNf6KMl3p6ez1zU0R9Mlk6Tydmoq+GtWuVu2oqe+MgZs35BetECPfQ2P6Wq1Wb7PiaCq/LPIcbLInISL+DDIpZkKS3qTeNEkHVJCFlS7EyhlhwKm+cXCuQkHXJqPCKR9tJp6EeAoRqQ4jsHI7DQYESrK3SmdcNNi6QFg1lJfoj1mwBg7xxi7izF2HoC/0h4bA3AJgK8TUQd4HervEtH/F/sGjLEfMcZ2MMZ2NDenrseKRkyjj02Mc+XbVqd60RHQ0cU/5uLF1vqp6XUr5kV/YnQYALC+LTbInPy9dSa1HnCFuiAIBG5iRIh82Xfq6G1I8s3o8TqyFjFNFB2KRCKYnJxM+TqRSAQSUyHl49wa89nHJiYttfKQpfRrEXmtKNBoI7p8UlPkbVu21CQwk9gwnRjlaZNuefB19FpbBqS5KYsaIvuO5EZAa/22Hdiyax8AwK8Z+27VmB44eQZEQLVFJ33eESeaBAAzswEQY/ClUSKmKAokpoB0fZEUywBjDBIUUJpiXKnQfRZLl6TuMCEoPPSWSGHT/MvF7NzL9LBfMGKd3QDWENEKcIP0EwA+ZT6AiJoAjDDGVADfBPBTAGCMfdp0zOcA7GCMzVP1tYu+JptTeYMzXJV3gRMRU+0NhjU1wTXLrBmmcpw+puHZKUgAWpqsqbJpAzB+Ot7JjePKWuciwQJBsaDfigplN2KqRxjy0ujxOP5wkP+QIIPkvx94DL1nTuDvUrzO0TNdIAIqavJtbp2/w91ziKfA1qdQ8zScp+lk30SCYBQnlZMIiWrnhrQMqO0b1+LESS7skkz8KDw7BUqRjuwEhk5FOF6DEHu0a4q8KxwWrEnFp+64GfjQLQBMEWCXIqZHTrQDAJYsseFgzyP0bLdITO31/mPt1lV1Y5xFxzu7Y+aX5OfmdFevtbY06WC6RbdtyJ5Al8A7xCqyT83MQgKD5GJqt2vhAMZYBMDXATwL4CiAhxhjh4noW0R0u3bY1QCOE9EJcKGjf3BrPICpXYxpElZCAQBAba1z6TSBae51t9IqBjDX7+hpQgySloZrvU8azZm/jp3qAAAsXGixB6pAIDDQI0TZFj86euYsiIRDyQ38Ea7KmyiV91znaZCW7puMg8e4obRwUf7Pre0dXMugbdnSpMelq1IdjS7bq7MLTE3wmrkFTcbGPZlhytMm3a9j9GkGun86kPFr6SnO25OITrlNVG3Zna1gXy8X8dm2sfAUeTn6tTn3vjim9f1cttR+lPHAEW1+0fZuqTJn9h/V6qtTtaVJCy3LEMCqpfk/3wnsE5vKu1dzZtY2uFDPrOFmxBSMsacAPBXz2F+bfn4YwMMpXuPnAH7uxHjImHxJf22QEgIAVFc71zOQhWcBALW11jxYcow3enx8HATYSsON9Tv39fE61w2rRasYgcAu0Y14dtNpj5zgirwLF7ojw17M+BTex5Ql2oRHgpZe59w5PrduWps7gyIt4pSrDWvG0Xkbkn8Wn+E8tXc/HDutRZfjOFqSibqw8CwYySCiaE/hBEZxKBTmWQZl7mcZNNXXAQAWdp1L/0U0QyMwPQkJwMKm3KW5Gqq8LpUNzEyOgQCsLlCjRr82Y9vFDPRzAbvzUhjkLCagAADnevn8snEtr2EmIrAkorxd3ZpCapJ2T5miQhalJUWKnsqrG6bHtVZpbcvcy/QoKlUcyagx5f8Gg0EQGFQQysqcyM/nk4zEVKiS37LokH6cPi5dPKmipi7tkUxPjAEA1i63lk4sEAiiRJ1F2Y2YnuvlG95Na92tlStGfIynX8aLmPK6LmvpmdPjo2AM2LQquymYbhCc5pHJRSnUPClOuYkVDh7nqZwLF8QzTOJvdHlPUgWk9SSlFBHT949nr45x+/pVOP+SK/Hp3/4q8xeLuCVYYx3d4eBWKi8LzUKFbCPzK7+IbtrnXpuzk1wlt22x/Sjm5NgIGAM2r27T3yXp8ROjIwD4tek82nv7S114bUE+oAt86enqQ1qp4gVb3EvtdjVi6jUM8SPtizaELmSHFgeKFor7yqwXvcsx7WJOnOa1JwviLubJ3j/6GdTgDAiEykqn+rMKBMVD7D359t738c67u/AnLr/v9PgYGAM2rEieWimwD4GrqcZTwTzd1RvVIEDyraASnAYRoaQk31pgxFH/DAeMyGQyfL701FvPneOOlo3xHC0J3rN7YAgEoKSSl9ek6il89CQ3fhcvcr+OkYhw243XAEFr0fVY9JY9uvHNSnLbgsPnd88w5Z8xAtVfuHuQRK2MzBF/uyjBGRARSktL9DdJenxEq692SyEVAMoqhUJ8saI7JXVx1sDUBCQAi5rzNJXXa+j3t15PoRumks85b5D+HhXV1gvRY1N5+/p5XcZaW61iTHWzisIXBLlUpF8IBGlAMYbp86+8ATY1BJXI1TSTeZsSgePES1s8oEX2ACBCEpKZnKSGwXzubQKzhWEcWTAc0u1jOqVFlzevju1hCiRK5N2v1dg1NvEe3qmitX19fL3c7ErEyHkIwNneQRCA0qrcbvh9uviRC7Na79AoF+WpdK5Mymvo9XcRk2EadTpYNMhj5qPYNjNElEAiTPu7m71wNfGjbCtHC7xDtHWeZi5GAlDTdLpYfk/XXtmD6AucoZ47ylvF+B2rTYmeqCYbN7IUI0AwNT4GAFizLL26jIHhERAAv2iILBCkhb5h0zfikZkJ/q9LIiE6rm4yBAC0uq4YunuiNYPJ+mWOjPO6QH95Pm6259aznRsc5saRBcPBb6xR9lIyleAMWKLocoJ9TWdXFwBg9UrumNUjponOy8wkzzJY35Yn7SyI8L4moNXU3JLTofhdrDHVP2MhGzVRxdLotdmvGeSllqKMc793vV5anrMnTXxuZmYDkMBsZejZg7/3qhXzHUuC4sCo8ZfleWUWrr2nq6/uMQxVXu33gRFumJZXOG/ALVtsXbzEZzS51jwTwRkwAHV1NuS/TcIWxzt4MbwlqXKBQDAP3UuoG6akcrXWoN89o3Fc6z0sHEouE2fV0+u0gLnRj1j0yGpdQx7OrTH72/1HrRsOuvPUbsond7TEz0giorjdYsaG9J6kvIaJZN1jH/+8qMFZqCTlSR0j//7OnuVr9Kq23NYp+1xsF9OpfcblaSjT5gtk1N9Fr739x/gcUW9FtTRGkOzQqU4QAVUmsTBKcm4OaGJ51XXuqrifv1G0iilWJFPGSv8wFzMrTdH3OuP3dPXVPYYReta+6NGJSTAGVFU5tRGMTiArFlv3hEomxUPGGCQ1DJV8lsWTYt/7tGaYLimAdgYCQS6QfFHDNBgMQdJ20MmMlkw5eLIDgHAouc/8jV54dir6cxKhj9MdPJq3OC/n1rmfWzccVixPXc8sp5HKO631u/OXJ4rmxN9wh2anoAJoqOWbH8NJJMePmBILAw6W42SDsRFufJ+fw1YxQNQwTVXHmA4jw/wzbtuQHynW6WBs2k3XZudZPkekY5Af1drMzFVlJxBFAypmTp7p1I53Zz5ikgSVAY11osa0WDGr8tpxZmZCkRmmmtdX+31iYhJEQF2NQ4apaW5vbbK+udR7ozGSMD09DQKDVJJ+qFxvTr6mTQioCATpoG/EGZGRgQAk76WYKSfaufe7UJvRe4V4qrx62zAgeSrvoDa3bl7rXmuGbDE6rLeKSR0NSaetyMETHQCA6kQ9eRO9ViQIRtFzEE0lm79dmZia0VKr80RgR4uQ6cZ3XU1uU8JLtRRrN1J5g9OTYMhtOxy3iW7ao9/f8PAwAGDbBitzxNzvXe/7unFN9Ll6Knu8dkl6W5r1hoKvs+zYeTHaDp1w5bUF+YFsZI/JUafLMnf3KJZ3WUR0KYA283MYY3e7MCbXMFQXtR+mp7mXvKHOqcUhmipcXm69objRLkYidPVyKeaydEQRtM83O8VTlFcucaPhskBQ+BiCZLKEo6fOGI+Hfe4psQ4M8Ht/67rCjTDkHMI8gygSiYCYasyfifplAtrcyvK02XxM39DgzBQkAM0NqUtGpJhyEyvo0ZwFCXryxhN1Mdr2lEYNTSmJ+JGeyliThVYxzqBfZEEwyr2qsyzNbaHnJFYVn/OZecIw4C2YCMCiZvuZL1MTeisqU02nKV04tpBkamKcH7/SnRrQO264CrjxagC/dOX1Bd6HtPVQkSUMa1kQ29e7m+lhyTAlonsArAKwH4CiPcwA5JVhqreAMPqYBmYBAM1OpSnohq9cYmsyNoRWiHCiswcA0GClPmHOe5tUeUOzkADRKkYgSBO9v59KktHwHAAiPvdSeQNTEwADVqTR+05gnVhj6PiZbi1VjiCBJY2Kq6FZUN7UM8bBvCyFg5b7aPr11HYb61q/5mhJHM2Z/1qdPf0gAkqrosZyPIEZnXbN+M231GpufOe+lly/juNlEWRCtFWMU8KS3iSaymtS5bVlkM8VJFMCXJXd7/eZjtD2q/4SxH6buoq7+XiBwEnMrfOC05MgAAtczoKwejXvALCRMZZMtdrzRNvFaAtdiPciq691NmLqK7E3GUcXBwnd5/gmePnSRWmNwKhRlewZxwKBIIqkpWYxScLk2KjxuCK5F+VQQ7MASfC5mC4swLyI6aETvK6LSX5ADSVN5SU1klDMx/OYPjdjDBIUML8148gQybGxpkxPcLXcjQnanpFE87J5D53qAAA0NkUds7rwUrw+pnqWwQaXUhndgCRoxrc36vYYcz5iOjLOo4YlBS7kZqSZm7IsbBnkMV97PFX2aB/J+fMSby2T+8i7oHCR9HR1Sc5aFoTVvJxDAKzLzHoUvQMh02tNI7yuqKLCWa9eRbW9BcdnUjwc19Qh1yyza5jyC2Vigns05FLrqcQCgWAuflMWQyQwYzwedjFiSmoEkMUmw3Vi1tRerQ+mXMrXgUQCV7OBoNaaIV+jQNEP3jMwZLlVDGByntpI5U3aKsY0HsW0ydHb9rQtjdYwxSpkm5mZ5KmM6/KlVQxIz8ycY3znHIc3mu8f486e+nxUr7ZBbL/r4THNILesWhr93gPBEIjNb/2iGwGxDjNegsCMeUsgcAPJdI1LLJIVoTmrrvkmAEeIaBeAoP4gY+x2V0blEobsNhFUVQUxnpXsmGGqTSCNNhWrjHo2IgSneZ+8hS12Fy2e8HG6h2+yKqpttJoRCARzkExtFMzCOJEEyqCZoiv/kthkZIG5m/CpcR4RL6+qxuzsGJQEEdNDmmpyVSIxnzzikCZMVG9RAdqvfSd2ImupojkSEVQACknQXQFjI1w4Zss6k/hLkhpTPZUxb7IMCEYu+fKl3hE5czpierrjLIDCF3KTTIqlAHDAaBVjP9Xx6OkuEAGVNTF7N8MwneswO97RAyKx1xO4i26fzFRUZKVVDGDdMP1bNweRLSSj0B+YneX1pQxAWZmzzWKXLLRXIyab06QiQaggW+JJAIy91okzXDWruUXUqQkE6WLUfcvyXGEclwzTo2f4Rq6yps6V1xdwGObX04VmpyEB8Gk9asMJzvEJXcxnQZ7OrSbj42w31zJYssRaZo4ukqNa7HepR3OkZJk7mqEZ9JcYoi7BmSkQgNbGqPEfrXGaH8kmNZxnqYzR72/z2hU5HEcMDmfmDQ9xxedCF3KLih/xa7O9k++/li62GME3CZKdON0BAGhpnttq0HiPmGyawyd5VLq5xXprQoHALrpjcKiFB9yy0cPbUl4OY+xVAMcAVGv/HdUeyyv0lAhGhJkZnp7HJGviD1ZgJTwFY6WNHqZA1But+mRITJlXY2ANXkTfq8mNr1qeL6lNAoH3MLyElRWGMA4Qv87NCY63c8O0pVVsMtxF69dhRglBJTlpyigQbeWwblWbi+NzD7Mm76imrrjJYm2mEZG0uFae6OTRnPKqxNEc/ZUiMcIxKqQ5a3I8gRkgv1MZvddGZe55VVUVBw4dmicUZpWZqQkwAG0FLuQWdZrw729Yaye1db19g7yvn9dLr2qbW5NtpPLGXP+9mijfGpcUeQUCIHqNz2htNZdmIQvCkmFKRB8DsAvARwF8DMC7RPQRNwfmBvrGgxFhenqaP+ZgvrRfqw1osbng6Cc+Uso9YmnVMGnryuR4ujWqAoFAR68xDVbyiI/uLEpUf5gpep3j6rb4QjECBzHtwbl6qALylRmlHomi4tMTYwCAzavydCNoEgCdnZ4EY8DyRdYcIbJN8aMjJ3kbl2TRHL0+z6yCHK+Gydy6ycyxDq6mXBGb+uhlSG8pJ3lHnJDmZxE88/ouPPrII9i9cXtaL8lC8x0MhUjUacKv4dnpCVv3lfmmnNBE9javaZt7RJz7xHz8ljUeirwLCg5j7i/l19+mLFxvVpUM/grAhYyxzzLGfhfATgD/271huYORygtgeHwSAOArdc4w3bioFlJEQVWVPSU6v1Y7ENJSiqvSSufTNlWBGTAAzaZUKIFAYA+jHYif/6sLUrgVMZ3U6hw3rhKGaTYZGtXFSqqMTXSidjGR4AxUEEpL08lo8QJRI0ENBcBstL0psWmYntPU5Ve1LU08Gu2l9N7A45PTIAD+GCVX2dS6ycxRzfiNTX3MC7IgIGKLmPN67MRJAMDZhelFR4hFgLQyv/ILKUb8SA0FoJINg9x0XDgwDQagpmpuYEIy2iXNvVfDs9NQ4xwvEDiJfo2TxBW8s9HOzqphKjHGBky/D9t4rmcwUnklCUNj3DAtr3Cu1+e6Natw/nv7bHsJdaEVtZT/25JJfWgkBEZy/vbZEwg8gE9zFulZnbogRaL6w0wJz/JNSW11YbdX8ASm+fmQZtzU1jeYRHbiz52khMGkPBHZiYfpc/O2FNZrM/0l9sSP9GjO1mR1lDQ3RfewJi5VU1cXc1j8FOtz57SylRX5FMHm35+/zFs9xmMjptMT4wDi945NRSgUznP1auvERvNJDaevrB7hfYVjIe0+mbf2REJgcY4XCJxEb9clEZ//JRvK7Oli9ap+hoieBXC/9vvHATzlzpDcw2wwjk5ww7Sq0rmN4JYtW7Dlt7+1/Ty9XYwe0W1bmkazcK2InqBC9RX+giAQuIl+TxLpAmnlmAIXQ3KFSCjupkTgLmfOcrGShQsXoF+r8YoXFecq7iqoJH8dB3qNqW442FGA9plUqq0QCnBBqbqaxAqOemlNRNvIn9KUXBcumLv+GZv/GIeBXrayJSb10dNoe5Dq2rrcjmMec89rODADGYAi29+EHjvTDcB+27x8xBzNVxSFC36V2BCuNNdSMwWqf77Dgkx9JHXs9iEWCNLFZ5oDsiU0Z2knxBj7n0T0YQCXaQ/9iDH2qHvDcgfJJH40PjEFAKitzf3kqS/6+hy1wnJ9QhRCtFm5v9xb3liBIN8wZxyokObVEjlJdJMh7lu3YaA50aGhQS4CtHH1CgwMcOGSeIZpd/8QiIDSijzeCGoLxIlO+4aD3/hOLGYDRYJQKbkTx0id1l57YJA7BmLFpXz65j/GKA4FZkAAaqvz775ZsMBjbeFjT6vW4z2REFgydPXqJptt8/IRczT/5NleLviVhkE+Mh4tKYhFisks4MdPasfn37UvyC8kk0PEltMlAyzvshhjjwB4xMWxuI4RgibC9BQ3TOtrcr/R8MVshJoa0qgPNS0s1aLlhECQEX5zzzhfiTF3RNKIIKSid3CEbzIq3e8PJpi7B5+d4mIlq5cuwOty4lTeI6f4Zruu3ktKqvbQo/9Htc/SZKM2Mxq1tGaY8uhP8oisvqnX+zPq6aMbViyJe9y8PqaRIFgK49dzaMb4Wg8pqTJgTuROd5QBSOlciEdfXz8AoG1Z4XcGMEfzj7V3AAAaG633oCct0+3gCV5SUFc3f++nl1abRdn0PsQ1BdBTWeBtzBHT8qrsBPKS7rKI6A3t30kimjD9N0lEE1kZoYPoc69KhOAsbxfTUJv7zWCJPzrhcHGNdIQRoguLaDkhEGSGz7QJ8JVWJGxZ4QSHT3UAAGrr3O8PJsCcTbgSmgEjgt/vN2q54p3jrp5zAIBFC9Mos/AM/HP39nFhopXLEwsTxSJJEhgDQIT29naEQqGEx05MaSJGKWoM9dOgp/IqmrhUScncdDGfT1PTjzFMJaYAssdEhFKgp1N7TeTM3BZmdGLK2E3EKiFbYVxXi13tHePbLcztYs5p7aTabLXT4N/06U7eV3jhovmR9Hhrz5kunvXQ2lrY7XgEuUc2zbsNjdnZoySddRhjl2v/VjPGakz/VTPGcp8Da5NojSkhHJwFANQnqYHJFo7kcJs2WyssNk0XCATx0TfDAE95NJQREwjjZMLZbm70LF4kNhnuMzfixwWN+JwrJYrMARgZGQYArM/XVjGAsUZMjI0BADanYTgofh/uvfdePPLsawmPOXqa1+2mytyJpihq37cSjivmoqfVm6O1k9MzmoJvfukp1DW3Qg0pKPOUsjPFCIJ1GD+nk8ob0oTcGurybotoGz3NUZEkjI3ymueNdmqete99aIinsW9YOf+5FMcwHR7iJQhrV3rLwSEoPMwZncsWZ8e2sNrH9B4rj3kdQ8CBAFWroaiqyn2OvlnlSi5NL4fbLOy0conY4AoEmeA3tQxpbmoGyfoGxHnDdGSYGz1rVohNRjaJRCJzxEqSqfIGpnjfz3yeW/U1Ijw7BQagPo1sIbWMG/E9584lPKZdq2Ftbk5eY2j0Z5R9WvqoCvLPj4D6pGi6pM4xzfityqcepgD+4Hc/hj/73n/kehhJ6dCicUB8J00qWLg4epgCc6P5wRl+Xy1osp9eOzPJSwrWts2PthoOHNP1Pz3F097XtRV+urQgt5j1NjatbcvKe1qddTaZfyEiH4ALnB9OliAClDAAoLw8O8W8yTBP4GUZ1pkxAI31dZkNSCAocvymybht6WIjYppOalsqZqd4VcTqJfmcJponEIyg6dneQRABZVrfaaMnoW/+OVZCs2BE8CXocZoX6OJ/kRBUktMyHPR6N8bUhMcMDvDoz8rlyTfN+vsrsoyh0XFeZx1HuE9vV2BuVXOqkxumLU35VbZSWlqKmglvV0ENDg4aP8emT1uBmAL4vBQRdg/daFQlSssgN+6B4EzC+SVeKm8kMAsV5LHIu6AQ0Q1TxoDFLdbrpzMhVY3pN4loEsBWc30pgH4Aj2dlhA5iVlAjbWEtKyvL5ZAMmFbkUd+QnriG0aMV1pumCwSC+MgmA3Tj6uWmWiLnDdNIcFarLRebjGxy7DRvT1KvCRrp7bqUOIIved/DFJrQCgHEIoCc3rWmZ9MyxhIeMzk+BgDYmCLt2fi+ZR+OtPNzEdvDFDC15DDde7qC8ooiENjJCiZjShehAuzPd7OBIO9hWpr7TLRsoIvkqZIMUtO4r/TvPcn8ElffQOtXLxC4jV5qqDJkLQsiVY3ptxlj1QD+Oaa+tJEx9s2sjNBB9IVQ9WseAAB+f3b68lhlUboy8voFUySeSoHATXSxF8aApvpaSHoqrxtOHyUsNhlZI7qw9mhiJfqcqxtAsedYVVUQ1KxJ5buFLu4kAfClWTKiw9TEhmk4wGsMU7VxIaOPqYzOLi7+siCOmIvPN7+HqmH8rrYu4CRIBM0pvY4EZ4yf7Rqmx7UeppV5lmKdLmRK/yfG4Cuzd1/pYliJ0tj5e+j6BlrmgKaaTH5vBFUEhY1RYxpJPOc7/p5WDmKMfZOI6gGsAVBmejyxAoIH0aMeiqaCy9JMZ3KTlYvTrWHin0O20TRdIBAkR/cSJqs/TMY7e97D5OQkbkjwd9HDNAdoU/7oCBcr0QVEJDl+VLxncDhhj8F8wrzSVVSnYTiYXiBZKi+zGM2RTFkIg5qYy6o4SsFRbYjoeQkFpiEBqK3O73PiBRjmqvIiEgYDP912DdMTZ3jku6U5Oyl/uUa/Nqdrq0CUxn1F0f7zJeXxr2XDYab9OzoxqQl/iTVD4D56erkcDGftPa2KH30JwGsAngXwd9q/f2vheTcT0XEiOkVEfxHn78uJ6EUiOkBErxDREu3x7UT0NhEd1v72cTsfKsl4AACq3qNQ9la0FAAWt6Ypx6x9tmLxVAoEWSHMN+Cynm1hc6P22+dfxqtvvJnw76NaY3V/mdhkZIeodTU7PQkg6gxMlK59VGvnk889TAEAps/VmKHsf7JUXqupwtHewDJmJnUxl/niL7Ks3XtmJ3I4CBXecyznK/q3qDvKVNKd9/a+375+3sO0WFKs9TTHQCUPCNjpYQpgTgp1dW1dgkO0eUl7r0MneR/imjg9TwUCp6mv4XuT+r7BFEc6h9Vd1h8BuBBAJ2PsGgDnARhL9gQikgH8J4BbAGwE8Eki2hhz2L8AuJsxthXAtwB8W3t8BsDvMsY2AbgZwL8TUZ3FsSZEirnBJZ+3DFPGgOrq9MSP9AW6qak4PJUCgduoRKgZ4FG1eHVuVpBC05DVxJ7GY1rqW3WtcChlBdM+W9Fqe/VyDsMwjUnlPdvN+34uWphmmYVHMBtxSxdlJrSVyDCdnpmFhNQ9TIFoaU1ElhEOzEAFUFkxPxXSr/UUNqfyEouIshUn0a6NEc1RpqeV2p3voinWbQ4OzrvoJR6shF+jy2y26iPThNSSQMVajsnW6UiS9i4QOE1zQx2uv+U2fPHX92btPa3OOgHGWAAAiKiUMXYMwLoUz9kJ4BRj7DRjLATgAQB3xByzEcBL2s8v639njJ1gjJ3Ufj4HYABAcu15C+hzrB4x9SXI6c8FjABVmds6xg6kTVrLRQ9TgcARPvyhO/DZxx8AEE3zVGyo8jLGQEic8ggAZ87yTUZLi9hkZAezZTo35VRvCaTS3HM8MszTTNetzOMepphrmG5YmVltZqIa0+Md/HqutJDSqDuKmSTPOxdm9FQyPZU3EAzxOlmb9XyCRESvC70Nj54maleVV+9hWl9THCnWfk3BW79016+wd1/NafO3bH62ABDNGNBr33XV5DU230sgSJfLdp6PytnZrL2f1VmnW4tYPgbgeSJ6HEBniucsBtBlfg3tMTPvA7hL+/lOANVENCfHiIh2AigB0B77BkT0FSLaQ0R7zBLniTAK1TXDtMQjirwAoMAHaTqY9vNLqvnXtmpJfnv1BQKvsG3bNjRrtW96I3VG1jdqw2PjSJUIN6DNW4k2JQJ3iNc3M9ovc+5Zm53iKb+r8riHKWBSbmfAotZMM2viG6YntRrDphQ9TAFzH1MZElMSpv/qCtl6Ku/xDk1gJ506WUFSOrt5f9qaWp4mqtpM5WWRYNH0MAWiEVOJtPuqxWaKvOl7Wp/AWSTFlBhE096LI11aUHxY2mUxxu5kjI0xxv4WwP8G8BPMj36mwzcAXEVE7wG4CkAPAEX/IxEtBHAPgM+zOGoLjLEfMcZ2MMZ2pGrmDUTrxJg2mZSVe0coqKrMh/Vd82xvy2xdxifE1qY8r4MSCDyIIZluQ/xIV6hMht6aYe1yYZhmBeLJc2O6gIiptldOEBVXQoE5Kb95i26YEqVlOJhN0UTiR/1aD9O2pakzd/QNd7C0LGmdtd5TWE/lNYxfu/V8gviYevvqIlR62rrdGlNSI4CU5/eJDcz9rtO5r/T+2AxAdWX8/aje/k83TMPBWTAA5WXeyfgTCJzEqvjRPfrPjLFXGWNPAPhpiqf1ADC7gJZojxkwxs4xxu5ijJ0H4K+0x8a096wB8FsAf8UYe8fKOFNB+seVuHcrXj1Lrrji8stx0Z5daT//4gvPxx2PPYaSElF3IxA4TTqpvJ1abWKi6BIQba1RVySpb56Aok6DKpNYHCUQPyqUdj7R1NnMDYdENaZTmqNlnYU0Qz0Lob+FO5UTCffJulihNv5+rYfp0sWZ1ckKdKLGlH7+VizljjI7qbyqqoIYg1TinUw0t9HrnwGk1+dYF+RE4vlFiq19j4SgFsB8JBAkwuqdtMn8iyZsdEGK5+wGsIaIVoAbpJ8A8KmY12kCMKJFQ78JzdglohIAj4ILIz1scYwp0SOmulerqsI7EdPLLrsM6OhI+/n19fWo37/fsfEIBIIospHKa90jrqfpJnsGi4TAhLpo9tC+59Ndem1vNNMmXlsSAFyl1OedtSJd9GssfcOBoDtZEhmmwdlpEICWhrqUr6bbPOP1PG20OYFwnz8mlXdCE9ixYvwK7BGanQEBqKvhIox2Unl7BodBBJRUFI/CuF7/CSBhH9JkGPN+EiFOwzDVjiWmgPlEtFRQuCR1hxHRN4loEsBWIprQ/psEFyN6PNlzGWMRAF8Hby1zFMBDjLHDRPQtIrpdO+xqAMeJ6ASAVgD/oD3+MQBXAvgcEe3X/tue3keMEissVF3pnYipQCDwLj5fgmhaEqa1WqBkCHXRbMM3d7rTQI8MAeZ07eg5np6Z5WmmBdAfWo8Il2bQj5Ux/l+iJAAWDoLBWkqj7uwJVXJDeXmC9F89hZppLxmcmQZjwMJmUbbiDGR4z/QaUd0ZwCTrhunxdi4pUltEbUx0YS4AKE2nr6h2n/iSzC/meSkSiYAYg1wi9q6CwiVpxJQx9m0A3yaibzPGvmn3xRljTwF4Kuaxvzb9/DCAeRFRxti9ABzXJpZiFsvaqvzfbAgEAveRyX67mNDsTFLPXyjE1UWptHhS37zC1Dh3GqxfERUQ0VNLzVGiU2e5GExFmm28vIT+sTIxHFSVRzoT1ZhCjVhOadQdxczPj1+3Ir6Yi177q4dY1XAARJS2gr0gBtO2iNQImFQCn39u+rQVunr7AACtrRk3UMgbZFONaTpiXHrLpPLKxPOLZLSLkXCmpx9EQHmlKP0QFC5WU3mfJqIrYx9kjL3m8HhchWIWsrrq4kk5EQgE6aPXmNpR5WWR5CrbZ3q4UExZRf4bPXmDZp2FA9NzUhYBwOfTRXai5/iU1s6nviH/o3P6BndBa0taz6eSKpT29CDUVKOFTeeiKx0zv7V1VTc4SeYB2JaG+AazIX6kW9ZKGIzSqOcTJEBXa2YgxkAlZfBrkUA7qbwjw8MAgFVLi0cttsRkmFoR4JyHtp40NCRW85Xl6Lx0soNHpevqiycqLSg+rM7u/9P0cxl4j9K9AK51fEQuEtM33VPiRwKBwLsYdW42UttIjST9u270iE1G9tAb2rNwCCymrYVPmh8V11VmlyzM/zZcC1oXYKKnHds3rE7r+V//8u+iZOVK/Ouf/hni5fKOjOtKx9YykWTte+aVq4nTf0v8eh9TMhm/Yu12mnMD0RpRX4wSshVmpiYAAGuWF08vdckkhteWRg95PYtv8aLE84tsmpfO9fH5aKHoey0oYKy2i7nN9N8NADYDGHV3aM5DMUpmZR7qYyoQCLyLFBu1SYGiKCA9qpSgHq+vrx8AsKCleFLfco5WTkcsAshzBUd0Q8m8GZ8YGwMArGvLf6GdO2+4HLc/9hhWLElPzbapqQk1k5MAxRc/On6aR3OqEqjrxqJnMBElVzQ1Un4JmJiasWX8CiygtVA6dpq34amprTMMU9iImIYDM2AoLod/aUl0DtmQoA9pMhqaePbClnUrEh6jCywxiTA6OgIAWJ0g7V0gKATSLdLoBrDByYFkg9gaU2GYCgQCK+hpnlZrTHsGhlLu6UbHuG9vlYWejwKn0JUtGST/3PnfOMemdG1daGdxa+JUu3yhrKwM5+3f74gCdDzDtKOHt0dqarT2XflMKUyURGWUiHjmMBFOdPAsg8rqGhujFVih6xyvEV3Q0mwYXLb6mEZCSdueFCJGmjlLr+XXp2+7Dh954EEsbknck9foY0oSZqcmAQCr0nQuCQT5gKVUXiL6LqJ+fwnAdgD7XBqTa8iSMEwFAoF99DRPq3399D6ZiTuYwthkrFgqNhlZg8hwGMS2tZB9emQuuk4ooVkQ0Rz1TUF8hoaGAADLLPYXNYsXWYmAMiJ09nAxqkaLxq/ACjyNYGSE14iuXLbEUIK1Y5gSU8Dk4mpjotdJqwxpOXzKy8ux6djRFO+h1ftKEiJBrhJeUpJ5L2KBwKtYXW33mH6OALifMfamC+NxFbOCGgNQUiLaNAgEgtT44hgtyejWog8qyZCYEveYcHAWEoCKcuEgyxbmzWN1TMqpHK+uTgmDiWb284kTMZ2a4ErHVvuLmuvzqixEQBkR+gd4m59CqPn1DNo9MT0ZrRGV4qS1J0NvYyKVFk8aL8CdK4wBUJK5IDPDZ+5jqoTEfCQoeCwZpoyxXxBRCYD14DbdcVdH5RJzplgSTe0FAoE1fLI9lUo9+gC5FFBn4h9UhKlvuSd6/mJTTqPqr9qmXBfa8RXXZjsVzPR/M8FZrnTc3GCtxtTsKG5otKB6TMDE+BgAYF2bqLFzmkiA1+9WVfLoNWPJMz7MnO7W25gUp8K4NBt27bVlk1o4MUXMR4KCx1JeGhHdCqAdwHcAfA/AKSK6xc2BuYHZQ0uySM0SCATWkG2KH81OTQEAfCWlXNwlzjHEFEDMQ1nFfPqWLZ4bdfMbtVz8oIkpbmj5hNDOPOLVmLJwMKm6biyyKZXXWgSUjJrfhS0ildcxtPPFIiGosVtCi+fyVCcXvqqtq3NyZHlBTctiXPXGq669vhExlWVIAHxFFpUWFB9Wd0X/CuAaxtgpACCiVQB+C+BptwbmBuaFUPKJNF6BQGANvy9OmmcSwkEefZB9PijgBq35mZFIBBIYUCI2GVnFtNFeGxN10yMT0M7xybO8nlEI7cQS/x4gNQImWa99M4sfxZ6LeDAC1HAARDSnPlXgDLxGdO6+yKojrk9LsW5tLT6F8T/9gy8BX/uya68v+/l9MqtFssurijMqLSgerM7uk7pRqnEawKQL43EV8xTrE/WlAoHAIkaNqcUNsR59IG2KDUtzU3Z7Bniqb1mMAI/AZfQ0XQCNdXMNTl3gSN+Md3Rzw7ShwUKaabEREzFljIGggvzWxW+MOkYGLEoVASVwp4ISBiORZeAkpHX3JcYglcTUu1s0TEdHxwAAbRaFrwTW0TM5QhX83NTVib7XgsLGsvgRET0F4CHwNf2jAHYT0V0AwBj7tUvjcxSzl7VEpEMIBAKL+G2m8hrRI23KCcs+mLfsJ7W2F9W1dQ6OUpAKAoEBcVNOS2JSeQcHufNg0cKWrI4xP5hrmI6MT9ruL+qXo04CKxFQRuA1v36xdjuKdr0TASUx549ZlOGYmdbamAiFcccx+itrkdMFLWI+EhQ2Vg3TMgD9AK7Sfh8EUA7gNvB1JS8MU/McW1YuFjeBQGANI5qWII3RDI8eMcBfCtIidGH/3BTHnl6u2tvSnLh/ncAFtNPHpPlLn5HKq52zCU1ldvXSxVkZWl4RU2J6qpM7Wqyo6+pIurMnvmh1nCdIPD2+VNT8OoqphVJVjen86VFqC0QCvI1JdaU4N06jl5HoYryivZig0LGqyvt5tweSDSRTfVi5MEwFAoFF/HofSws1piPjE0b0SI/KRXxzU3lHRkYAAG1LFzk6TkFyiHjElHzzU05L/JrzQQveBWemAQBLFwjnwVwIsZZpV28/AKChwXqaoVFjGrFmmTLtHqoQNXau0dAwN6XaqioviwTBLFeGCeygO0X1lWfF4tbcDUYgyAJWVXnXEtGLRHRI+30rEf0vd4fmPOZ0ocoK4dkTCATWMMSPLEQQ2rt4NLSiqtowTMMxYmt6z8DVwjDNKnoE2x+nlCO2XUwkOAsVgN8vmtmb4anQc02WwaEhAMDCVutphrph6p8NWXpPPWJUX4TKr25iTmlfvLA19o/WXkNVgDhZCILM0RXhdXX3ygoRVBEUNlZdXD8G8E0AYQBgjB0A8Am3BpUNqsTNLRAILGLHMD3b0wuAi+bohlBEnjvVhoMzYABqq4X4UTbRN+EVcVJOZb3mUT/FShhM9JmNC8WE0ibGuaNlpY205+ZG3u+05VyftffU/m1tLj7lVzcxG6Zrlsc4yizYpVHhKyEo6QYlJvXqee18BIICxOpVXsEY2xXzWMTpwbiNeQKuqixLcqRAIBBE0ecOK2Igg0OaaM6C5mgqrzw36mao9lqMSAgcQvu+6+Mo7UqSxMVmdTEYpgCyiJbGZ65lGpzlfXuXLrDeX3RBYz0uveIqfOIZKxIV0TrItqVWep4KrKPNbQxY2BS9L5jpb8mYmOKtsfyi9tcVJLNTU0SlBUWAVcN0SOtdygCAiD4CoNe1UbmEeRNYLSKmAoHAIkQExqxFTCfGxwAAq5ctMuraw765GwqR+pYb9DVg8YLEKaeMCKqq8vYZNtqfFA80r/gwEgraTnsmItxw7dWonbTXeW7lEiH+4iiG021+f1grjrhTZ7nwVaWo/XWF0pLoPSWi0oJiwOrO6GsAfgRgPRH1ADgD4NOujSoLVFeIiKlAILCJBcNUF81Z3NJkSuWNTrV66ht8YpORbUrKqxAeBdYsX5LwGAZC//AYiAB/uYgCxWeeZQpG7qc9MwDlZcJZ4CiGYRp7/sjSfNfZw4Wv6upFf0038JtSeUVUWlAMWIqYMsZOM8auB9AMYD1425jL3RyYG5gjpmVlwjAVCAT2sBIxjYQCYABKSkpAkp7KGzVMp2d4awVfqZiDss0Nl56P6qFRLFuYpE5RAk538YSgOe0zBJw4twCx7GQAiBo75yH9hKaZtj4wOAgAWNgqan/dQDal8lZWVeVwJAJBdkg6yxNRDRF9k4i+R0Q3AJgB8FkApwB8LBsDdIuSEhGtEAgENrFSEqqEoZKupKhHTKNe745zPMJQXik2Gdlm26b1+NPv/YehdBkfQpfWZ7YxTi2qYO5NwBjT0p7ddLRo7ynS3x1Hd575StI7fxPjvN/vqmVCYdwNjNp3AHX1Yj4SFD6pZvl7AIwCeBvAlwH8FfgKcSdjbL+7Q3MXYZgKBAL7pLZMiSlgWp9MfdOnmg1TLfWttqbWhfEJMoURMKQJWCWrRS1uoqm8AyN62rN7ug36u5FIf3cBPkeVVsRxlFnIEAnMcOGr5bGtZgSOs6BFRKUFhU8qw3QlY2wLABDRf4MLHi1jjAVcH5nLlJaKOhWBQGADSi0GEg6HIYEBWvRIilNj2j/AU9+am60rmAqyBAEgwpTWZ3bVMuvtT4oHghHCAdDeeQ4AUBWnBY/T+MuEaKHTSERQAdTUxjrKyFKGSCQUAAEoKREK1m6zcqkQ/hIUPqkKNsL6D4wxBUB3IRilgIiYCgSCNEgRQegdGgUAlGqiOVKcPqbjmmrvssVik+FFGKICVgubhKDLPAgwR0y7enkGQEO9+46Wikqh/Oo42pzW0jT3/LF4x8YjEhL9frPEisWiVZKg8EkVMd1GRBPazwSgXPudADDGWN4qQ/h8olZFIBDYI5X40ZluXptYpaXpktZ+QTVFTGemeOrbikUi9c2TEEEJB7lAlVgn4jD3HhgaGQEALF7gZpohf8+6ujoX36M40eeopYvSM3qIKWCycPS7DWMiKi0oDpKuuowx4QYTCAQCnRSpbef6eZpug9Y6Qe8LaBY/Cge5Km9djRA/8iQEQMlO+5NCYMoQv3E/7blV1Ng5Tn1jMwZGe7GmLfb8pW4Xowtfkej36zqq5RC2QJDfCO11gUAgcIiRUR490kUqJL1djBQ1clg4CAaa075K4CUIxNS022cUPERz/DOBWZ72vKjFRcVQ7Q3blohURqf5zO3X485HHkF9jf006ZHxCRABJWWiv6arEABFWKaC4sBVw5SIbiai40R0ioj+Is7flxPRi0R0gIheIaIlpr99lohOav991s1xCgQCQSoYUqfyTk1MAgBWLOFpunrEVDG3J1EjYCRSRL0IP8cAMQbZ1fYn+U50k6yEAlDhdtozv+9WLhF12U5TXV2NrQcPzv+DBb/Z6S5eulAhWl+5igIJ/omZXA9DIMgKrhmmRCQD+E8AtwDYCOCTRLQx5rB/AXA3Y2wrgG8B+Lb23AYAfwPgIgA7AfwNEQkVCoFA4GmCWvRocQsXEtHFj8ztYiSogE9E4zyLLPEokIvtT/KbGItFCWcl7ZkxoLxMpIxmlRTGaXffAACgpk60vnKT22+/HZ//1S9zPQyBICu4GTHdCeAUY+w0YywE4AEAd8QcsxHAS9rPL5v+fhOA5xljI4yxUQDPA7jZxbEKBAJBCnjNVTAYhKIocY9QQgEwRFW/JU2NV9Eip4GAJqqTZjN7gdsQIPPdeGWVUICNS0zWADEFkNzNAFBlPxTV1bcQzCN1yHRomJcutDaK1lducuF527Ck71yuhyEQZAU3DdPFALpMv3drj5l5H8Bd2s93AqgmokaLzxUIBIKs853v/xBPPPNC3L+xSBiqaVrV60gVrcb0bN8QAKCsotLlUQrSRSsLRm1tXU7HkQ/o4jeSy+I3O3fswLZ9+119D4F9JjThq6WijYlAIHCIXIsffQPAVUT0HoCrAPQAiB+KiAMRfYWI9hDRnsHBQbfGKBAIBBwCpsdHsf9Ye/w/x0SPZC2FV0/lPdPDvd7VNSL1zavoAcEFzU25HYhXIYJeYzo2OQUiwF/qbtrz7Tddi4/89jFX30MQC6UMms5q/X5XLBatrwQCgTO4aZj2AFhq+n2J9pgBY+wcY+wuxth5AP5Ke2zMynO1Y3/EGNvBGNvR3GxdRr5e67smEAgEtpCI78tDs/P+xBgDQQX5oj395Bjxo75+HjFtFqlvHiW6E1+6qCWH4/AuZk3ejh5eY1guxG8KDwviR+HgLBiAqgpRjy0QCJzBTcN0N4A1RLSCiEoAfALAE+YDiKiJiPQxfBPAT7WfnwVwIxHVa6JHN2qPZczXvvY1fPlHP3LipQQCQVFBID3Pk82X7p+ZDfD60dJo/aihyqs9b2xsDACweKHox+hFzGe1bZGIAsXFFEjr7usHANTU1ORuPAKXSG2ZskhItL4SCASO4pphyhiLAPg6uEF5FMBDjLHDRPQtIrpdO+xqAMeJ6ASAVgD/oD13BMDfgxu3uwF8S3ssY5qamlAeCDjxUgKBoIhgiKZ5Msw3TOPVj0pabamqGagz07ydTJuoyfI0DEIBNjFRI2RwiC/LTY0u9jAVeBclkhVFZoFAUDy4KqXHGHsKwFMxj/216eeHATyc4Lk/RTSCKhAIBDnHCAzEiZh29vCefjXV0eiRT1N4VbW609AsTwFuaahzb5CCjBFRoCSYvpfx8TEAwJKFIu254CBKGTMlKGCySOMVCATOIbq8CwQCgSWSb9MGhoYBAI2m6JGkix9pqbxKmLeLkWURZfAm/DyJKFBizAb77LQufiMyAAqP5OJHiqKAGCCViMwCgUDgHMIwFQgEArvEiZiOjY4CABYviEaPJK2EXk/lhRIGy7kYuiAlJgErQSxkFOOGArMAAxpqRc/XgiNFuLR/eAxEQElZRXbGIxAIigKxQxIIBAIrzNmozTdMp6enAABtptYJPh+PvCmaYRrbTkbgMbRz7HO5L2c+Y46YqpEgGIm058Ik+Tk9081LFyqrhFNCIBA4h9ghCQQCgSWSb9RCszMA5taP6qq8qiRp7WSYiMZ5Gn6OS8pFFCgh5ttAiYCR8G8XJCmcDT19vFVQfX1dFgYjEAiKBbGiCAQCgV3ipPIq4SBUzK0f9cl8imWShECA15f6SsrmPVfgLSqqRF/OhJgMUZEBULyMjHJF5gXNTTkeiUAgKCSEYSoQCAROoITBMFc0R5aj7WK6tHYypSIa52F4lKi+ri63w/AwulYrA0BgkETac0FCKVR5JycmAADLhfCVQCBwEGGYCgQCgSXM27T5EVNiCiDPjR4ZhikRzvby1LeqalGT5Vm0U9zaIqJAidAzPMcrqngGQKloF1KYJE/lDczw0oXlolWQQCBwEGGYCgQCgRWS2KV6/agUUz9qTuUdGOQR0/r6ejdHKXCAZQtFFCghJIEI6Fi8FABQUVmZ4wEJXCFFjWkkFAADUFoqauYFAoFziOIQgUAgsERiy3R6Zpb3J42pH5WlaCrv6NgYAGBhS6OLYxRkBj/HyxaIiGkidAXeswu5YVpTU5vL4QhcIpXOMouEROsrgUDgOGJWEQgEggzp6h8GAJRWzK0f9fmiEdOpqUkAwPJFIvXNqzAiMAaUl4m6yUTohml/C2+L1NQoMgAKklRqy6qS+hiBQCCwiZhVBAKBwAqUOGLarbVOqIrp6efTakwZEYKzswCAhU0iYupVfOU1UCIQfTmToH8343U8Urp4gXC0FCKpbgGCCsj+7AxGIBAUDcIwFQgEAktE1UhjGRzirRNi1VyjqrwEJcxrsspENM6zfOr2G3DXbx/L9TC8jRYlm9VqS1cKVdYCJbFlyhgDMQbZL+pLBQKBs4gaU4FAILCCtk9TIc2zTkfHxwAALTHRUJ+m0suIwCJhUZPlcdasWQPs35/rYXgaSeI3QqTMD2JAQ11NjkckcIUkIdPRiSkQAX6hyCwQCBxG7JIEAoHAEtpGTZIxT/xocgoAsHRh85zH/T49lVcC1Ij2XIEgj9EMFuaTwUikPRcqlKR+tPNcPwCgvEL0ZBYIBM4iDFOBQCCwgFReA0UB4qW4BQO8p9+SGMVdWWsXoxJBEjVZggJA0g1RmUQGQCGTxN9wrp+3vqqqFtFygUDgLGJVEQgEAgtcvWMz1p48AWD+ni0SCsatH/X5tYipLIMA+PyivlSQ3+iRNIkASKIaqFAhIhAlqKkf5jX1DQ11WR2TQCAofIRhKhAIBBa4+srL8ZkH7otbe8V7+tG8tEa/VmMaLuWR0pIyUZMlyG9IqzElgsgAKGB0B4QSZ76bmJgAACxsFv1+BQKBswjDVCAQCGxBmBdHUCNgNL9+VG8XE9EM04rKKrcHJxC4itn54isRqqyFin6ew/L8qPjMNK+pX7ZQtAoSCATOIgxTgUAgsEOc2itiKhBnA+fz8SmWaSJI1TWiJkuQ30hSdNsgVFkLF8Mw9c2f10IB3pN5QVN9VsckEAgKH2GYCgQCgS3mWqZ6Tz/JNz96VOrXUh1l/pzG+jq3BycQuIpZrbWiojKHIxG4imaYKr756dp6Tb0vjtEqEAgEmSBmFYFAILBDTM3V+OQ0iAC5pGzeoXq7GK0sDwuaG+cdIxDkE5Lp+q8RGQAFi36eg3EMUyhh3s9ZIBAIHEbMLAKBQGCbaI1pl9Y6oSxOTz897VHfy8f2ORUI8g0ypfI2NIhUzoJFO8+ROCUKUCNAnJp6gUAgyBRhmAoEAoENCDQnmbenbxAAUF1dPf9YIjCTTlJTnYgwCfIbs/iRUGUtXCQjlXe+YUqIX1MvEAgEmSJmFoFAILBDTCrv4PAwAKC+Lnn0iAHw+0V7DUF+I8vRSNkykQFQsOi1xLGqvLymHpBET2aBQOACImIqEAgEdoitMR3jPf1amxuSPo3Fk/MVCPIMs/hRU73IAChU9H61saq8w2OTIAL8pfNr6gUCgSBThGEqEAgEdogxTKenJwGk7ukXr8+pQJBvSJrBwphQZS1kdAeE4ps7b3We6wcAlAtFZoFA4ALCMBUIBAIbxMY9g7NaT7/GFEIwskjjFeQ/uqCXylIcKMhrdAdErPjRuQEu9iZ6MgsEAjdw1TAlopuJ6DgRnSKiv4jz92VE9DIRvUdEB4joVu1xPxH9gogOEtFRIvqmm+MUCAQCqxCRWZQXSpj39CsrS15zFa/PqUCQb+iGKdTcjkPw/7d39zGWnuV9x7+/OTM7s2/edxvjNbFpXIoFxJCtIYK8FLfUuFGcSibYCamhbt0/EpJGjgitUDBI/NEIQVpBqJwETEgFsVzauo0LRZQ0VWWoNzEYbIewcqi9xi+Ld9cva+/OzszVP85zds+Od9czMM88M2e+H8me89znOTPXSLfufa657/u62zWYMZ3pnTpj+v2DBwHY7pnMklrQWmKapAd8HHgrcClwXZJL5932PuC2qnotcC3we03724DJqno18OPAv0hyUVuxStKCzVvKW7PHKXJKtdJT7+9/GV9nsRCtficS05nZbgNRq05U5R07NTF9+qn+nnrPZJbUhjZnTC8H9lXVg1U1DXwOuHrePQUM1oNsAb431L4xyTiwHpgGnm4xVklaoHkJ6NzMgvaPnu6cU2m1GWtm0nrHTUxH2eC82pnxU7cgHH3+OQB2v+Tse+ol6QfRZmJ6AfDw0PX+pm3YzcA7kuwH7gTe3bTfDhwBHgUeAj5cVQfn/4AkNybZm2TvgQMHljh8SXqh4aqkAKk5GHvxxHTTxheecyqtNmO9fv+fOHqs40jUppNLeU8d744d7e+pP3/n1uUOSdIa0HXxo+uAW6tqN3AV8Jn0R8PLgVngpcDFwE1JXj7/w1V1S1Xtqao9u3Z5npqkZTA0YVpVhCILKGy0ZeuWFoOSlsegKM7Uc893HIna1GsS0rl5f3SbnZ72TGZJrWkzMX0EuHDoenfTNuwG4DaAqroLmAJ2Ar8IfKGqjlfVE8D/Afa0GKskLUgSBvWPpqenCdA7y2HzgzpJ575Y1V5pFZia6i9J33rwUMeRqE2DJdvH5xU/qtlpz2SW1Jo2E9O7gUuSXJxkHf3iRnfMu+ch4AqAJK+kn5geaNrf3LRvBN4A/FWLsUrSggyKHM0lPH7wKQDWTb34YfMvPXdnq3FJy+E1l/T/3vx3H/h6t4GoVWlmxmfnJabMzVLperGdpFHV2uhSVTPArwJfBB6gX333viQfTPJzzW03Af88yTeAzwLvrKqiX813U5L76Ce4n6qqe9uKVZIWarD36vhYj0ce75/pd/bD5vsPeBecZxVLrX5/60cu5Prrr+dVf/1A16GoRSfOq52XmKZmIeOn+4gk/dBaHV2q6k76RY2G23576PX9wBtP87ln6R8ZI0krymDGdHpigsef7C9n3Lx501k/UwWbN1qVV6tfEi666KKuw1DLBonp/ONiQsG4+0sltcM/e0nSYjQzprPjExw6dBiAbVu3nvUjBWc+51SSVpgTienQjOnMzAwBxibWdRSVpFHnRgFJWoTBwfPTvXGeeaZ/vPKundvPeH8Ram5ZQpOkJXFiKe/YycfEA4efAWBi8sX31EvSD8LEVJIWoykKcnx8gueONIfN7zpzYaOZ3iT1/MyyhCZJS6HXzJQOz5juf+wJANavd1uCpHaYmErSIgxmTGfGexw/dhSA83ac+YzSH3vFy/mJe/cuS2yStBROt8f08QP9PfWbNm/uJCZJo889ppK0CIOqvLO9CWaOHyPA1NSZzzF9+9uugV+wlpuk1aN3oirvyfmLJw8fBmDrljP/IU6SfhgmppK0CIMiRsd749TMNBALG0kaKYPEdDYnZ0yfebq/p37njm2dxCRp9LmUV5IWIc0D28x4r3/YvMOopBEz1uwtHZ4xfe7IEQB2n3fmPfWS9MPwiUqSFuHEHtPeeP+w+Xnn/EnSajeYMa2hqrzHjj0PwAXn7ugkJkmjz6W8krQIJ2ZMez0Pm5c0ksZ7g+JHJxPT2eljAExNeo6ppHaYmErSIgyqVU5PTnrYvKSRlNMkpnMzx4l76iW1yKW8krQIg4eyw5v7lSk9bF7SqBlv9pgOL+Vl9rh76iW1yhFGkhZhsJT3+9v7+6ym1m/sMhxJWnKDpbw1dnJ2NDXnnnpJrTIxlaRFGBQFeao5y2/Tpk1dhiNJS67XJKCzOfmYGOag5w4wSe0xMZWkRRgs5T2yuZ+QbttyTpfhSNKS681byjs3NwcFvXH31Etqj4mpJC3CieJHU5MA7NjuYfOSRstgj+lcM94dfvpZEvfUS2qXiakkLcLYYInbuv4xMS/Z5Zl+kkZLb94e00cefxKAyan1ncUkafSZmErSIow1D2o13h8+z9/pjKmk0TIx3syYNntMHz94CIANGy32Jqk9JqaStAiDpbz0+gnqOZs2dBiNJC29k3tM++Pck4cOA7B58+auQpK0BpiYStIiDB7YEiiGElVJGhHjTfXdaoq9Pf30MwBs32qxN0nt8YlKkhZhkIgGKHL2myVpFRpvtipUs5T3yJEjAOzc5tYFSe0xMZWkRTiRmAYqHjYvafSc2GPaLOU99vzzAJx/7vbOYpI0+kxMJWkRBgfPAzBmYipp9PSaxJRmxnT62FEAzt22pauQJK0B410HIEmrSa93cvlueg6hkkbPRDO2zTV7TGePHwNgcnJdZzFJGn3OmErSIowNzZL2xn1IkzR6Bkt5q/k73NzsjHvqJbXOxFSSFmFw8DzA+ORkh5FIUjvGm+rjDKqOz5mYSmqfiakkLcKJBzZgcnJ9h5FIUjvWTZx6XAxzs2CxN0ktazUxTXJlkm8n2Zfkvad5/2VJvpLkniT3Jrlq6L3XJLkryX1Jvplkqs1YJWkhekPnlq7fsLHDSCSpHSeX8vYT01DgnnpJLWttlEnSAz4O/ANgP3B3kjuq6v6h294H3FZVn0hyKXAncFGSceCPgV+uqm8k2QEcbytWSVqosfGTiek5mzd3GIkktWNwLNZgj2ko0pvoMCJJa0GbM6aXA/uq6sGqmgY+B1w9754CzmlebwG+17x+C3BvVX0DoKqerKrZFmOVpAUZHyp+tG3rOWe5U5JWpyRU9WdMjx2bJkBvwmJvktrVZmJ6AfDw0PX+pm3YzcA7kuynP1v67qb9bwOV5ItJ/jLJe1qMU5IWrDe0x3TXjq3dBSJJbUt4/NBTAExY7E1Sy7oufnQdcGtV7QauAj6TZIz+EuM3Ab/UfP3HSa6Y/+EkNybZm2TvgQMHljNuSWvU+FBV3vN37egwEklqVyU89sSTAEyt39BxNJJGXZuJ6SPAhUPXu5u2YTcAtwFU1V3AFLCT/uzqn1fV96vqOfqzqa+b/wOq6paq2lNVe3bt2tXCryBJpxquyrtzi3tMJY2wwIGDhwHYuNFib5La1WZiejdwSZKLk6wDrgXumHfPQ8AVAEleST8xPQB8EXh1kg1NIaSfBu5Hkjo2OMe0CqamXNomaYQlHDr8NGCxN0nta60qb1XNJPlV+klmD/hkVd2X5IPA3qq6A7gJ+P0kv0G/ENI7q6qAQ0k+Qj+5LeDOqvrTtmKVpIWaGG/O96NfIESSRlUlPPPsMwBs37al42gkjbpWD6WqqjvpL8Mdbvvtodf3A288w2f/mP6RMZK0YgzOMa3qOBBJalkBzz13BIDzdm7vNhhJI6/r4keStKqMNzOmzHUbhyS1LuHY0ecBeKnF3iS1zMRUkhZhfLwpfjRrZippxAVmjh0DYNs5Fj+S1C4TU0lahIkmMR2bme04EklqW5idOU5x6hnOktSGVveYStKoWbduAoDxo9MdRyJJ7SmgAsweByz0Jql9zphK0iJsXj8FwHnfe7TjSCRpGczNUvFxUVL7HGkkaRHWT02ye/du/t43vtp1KJLUroTUHMRlvJLaZ2IqSYswNjbGDTfcwI/u29d1KJLUrgDMwZg7vyS1z5FGkiRJpxFSkHEfFyW1z5FGkiRJpyogkMDYxLquo5G0BriUV5IkSacogLF+Nd6JdZOdxiJpbTAxlSRJ0gukOSVmcmqq20AkrQkmppIkSXqBQWK6YcOGbgORtCaYmEqSJOkFBonppo2bug1E0ppgYipJkqRT1cmXW87Z3F0cktYME1NJkiSd0fatW7oOQdIaYGIqSZKkMzp3x9auQ5C0BpiYSpIk6YzO3e6MqaT2mZhKkiTpVM0e0yrYvNGqvJLaZ2IqSZKk0wtkUJ5XklpkYipJkqR5qvm/Samk5WFiKkmSpFMNlvLGR0VJy8PRRpIkSadnYippmTjaSJIk6VTVTJmOjXcbh6Q1w8RUkiRJpzXWMzGVtDxMTCVJknSqExOm67qNQ9KaYWIqSZKk05pYZ2IqaXmYmEqSJOlUzR7TdZNTHQciaa1oNTFNcmWSbyfZl+S9p3n/ZUm+kuSeJPcmueo07z+b5DfbjFOSJEknpVnKu37Dhm4DkbRmtJaYJukBHwfeClwKXJfk0nm3vQ+4rapeC1wL/N689z8C/Pe2YpQkSdLp9DPTjRs3dhyHpLWizRnTy4F9VfVgVU0DnwOunndPAec0r7cA3xu8keTngb8B7msxRkmSJM3XzJhu2by52zgkrRltJqYXAA8PXe9v2obdDLwjyX7gTuDdAEk2Ab8FfKDF+CRJknQ6zR7TbVvPeZEbJWlpdF386Drg1qraDVwFfCbJGP2E9aNV9ezZPpzkxiR7k+w9cOBA+9FKkiStAWm+7tqxpdM4JK0dbZ6a/Ahw4dD17qZt2A3AlQBVdVeSKWAn8HrgmiS/A2wF5pIcraqPDX+4qm4BbgHYs2dPtfFLSJIkrTVpZkxfsn1bx5FIWivaTEzvBi5JcjH9hPRa4Bfn3fMQcAVwa5JXAlPAgar6ycENSW4Gnp2flEqSJKkdOTpDbVrHls0WP5K0PFLV3kRjc/zL7wI94JNV9aEkHwT2VtUdTZXe3wc20d9m/56q+h/zvsfN9BPTD7/Iz3oG+PbS/xZSa3YC3+86CGkR7LNabeyzWm3ss1pNXlFVS1YhrdXEdDkl2VtVe7qOQ1oo+6xWG/usVhv7rFYb+6xWk6Xur10XP5IkSZIkrXEmppIkSZKkTo1SYnpL1wFIi2Sf1Wpjn9VqY5/VamOf1WqypP11ZPaYSpIkSZJWp1GaMZUkSZIkrUIjkZgmuTLJt5PsS/LeruORAJJcmOQrSe5Pcl+SX2/atyf5UpLvNF+3Ne1J8u+afnxvktd1+xtoLUrSS3JPkv/WXF+c5GtNv/yTJOua9snmel/z/kWdBq41KcnWJLcn+askDyT5CcdYrWRJfqN5JvhWks8mmXKc1UqS5JNJnkjyraG2RY+rSa5v7v9OkusX8rNXfWKapAd8HHgrcClwXXM+qtS1GeCmqroUeAPwK03ffC/w5aq6BPhycw39PnxJ89+NwCeWP2SJXwceGLr+N8BHq+pHgUPADU37DcChpv2jzX3Scvu3wBeq6u8AP0a/7zrGakVKcgHwa8CeqnoV0AOuxXFWK8utwJXz2hY1ribZDrwfeD1wOfD+QTJ7Nqs+MaX/y+6rqgerahr4HHB1xzFJVNWjVfWXzetn6D8wXUC/f366ue3TwM83r68G/qj6vgpsTXL+8kattSzJbuAfAX/QXAd4M3B7c8v8/jrox7cDVzT3S8siyRbgp4A/BKiq6ao6jGOsVrZxYH2ScWAD8CiOs1pBqurPgYPzmhc7rv5D4EtVdbCqDgFf4oXJ7guMQmJ6AfDw0PX+pk1aMZrlN68FvgacV1WPNm89BpzXvLYvq2u/C7wHmGuudwCHq2qmuR7ukyf6a/P+U8390nK5GDgAfKpZfv4HSTbiGKsVqqoeAT4MPEQ/IX0K+AscZ7XyLXZc/YHG21FITKUVLckm4D8C/7Kqnh5+r/plsS2Nrc4l+Vngiar6i65jkRZoHHgd8Imqei1whJPLywDHWK0szVLGq+n/UeWlwEYWMIskrSRtjqujkJg+Alw4dL27aZM6l2SCflL6H6rq803z44PlY83XJ5p2+7K69Ebg55J8l/6WiDfT37+3tVlyBqf2yRP9tXl/C/DkcgasNW8/sL+qvtZc304/UXWM1Ur194G/qaoDVXUc+Dz9sddxVivdYsfVH2i8HYXE9G7gkqai2Tr6m8jv6DgmabA/7w+BB6rqI0Nv3QEMqpNdD/yXofZ/0lQ4ewPw1NCyCalVVfWvqmp3VV1Efxz9n1X1S8BXgGua2+b310E/vqa535kpLZuqegx4OMkrmqYrgPtxjNXK9RDwhiQbmmeEQZ91nNVKt9hx9YvAW5Jsa1YKvKVpO6uMQv9OchX9vVE94JNV9aFuI5IgyZuA/w18k5N79v41/X2mtwEvA/4f8AtVdbD5R+pj9Jf1PAe8q6r2LnvgWvOS/Azwm1X1s0leTn8GdTtwD/COqjqWZAr4DP290weBa6vqwY5C1hqV5DL6xbrWAQ8C76L/R3fHWK1IST4AvJ1+5f57gH9Gf++d46xWhCSfBX4G2Ak8Tr+67n9mkeNqkn9K/7kX4ENV9akX/dmjkJhKkiRJklavUVjKK0mSJElaxUxMJUmSJEmdMjGVJEmSJHXKxFSSJEmS1CkTU0mSJElSp0xMJUlaAklmk3w9ybeS/NckW1v+ee9M8rE2f4YkScvFxFSSpKXxfFVdVlWvon/m4K90HZAkSauFiakkSUvvLuACgCSXJflqknuT/Kck25r2P0uyp3m9M8l3m9fvTPL5JF9I8p0kvzP4pkneleSvk/xf4I3L/ltJktQSE1NJkpZQkh5wBXBH0/RHwG9V1WuAbwLvX8C3uQx4O/Bq4O1JLkxyPvAB+gnpm4BLlzh0SZI6Y2IqSdLSWJ/k68BjwHnAl5JsAbZW1f9q7vk08FML+F5frqqnquoocD/wI8DrgT+rqgNVNQ38yZL/BpIkdcTEVJKkpfF8VV1GP4kML77HdIaT/w5PzXvv2NDrWWB8KQKUJGmlMjGVJGkJVdVzwK8BNwFHgENJfrJ5+5eBwezpd4Efb15fs4Bv/TXgp5PsSDIBvG3JgpYkqWP+BVaSpCVWVfckuRe4Drge+PdJNgAPAu9qbvswcFuSG4E/XcD3fDTJzfQLKx0Gvr70kUuS1I1UVdcxSJIkSZLWMJfySpIkSZI6ZWIqSZIkSeqUiakkSZIkqVMmppIkSZKkTpmYSpIkSZI6ZWIqSZIkSeqUiakkSZIkqVMmppIkSZKkTv1/pxN4jTD9p4cAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"run(data_loss=0.03, **status_quo)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"id": "cd437bd4-21b4-4fd3-bc1d-8415ef9d7620", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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UdB7WlNL9wP2nLXvfqMdfBb56lv1+Alx3jmNuo9CBWDpFNpuFgHxlSd/WkiRJkiaI/7PXtJIIUkW23GVIkiRJGgfl7hIsjatEQCbKXYYkSZKkcWBg1fQSGQOrJEmSNE0YWDW9RAbMq5IkSdK0YGDV9JKtIAyskiRJ0rRg0yVNK5ls4S39uf/1jxw9epS+4z0MD/aTHx6E/AiR8kRKVLXN5Q/KXKskSZKk8zOwalqprK5lZOAYuzY8fMryIEiRJVXUECP9DBw7VKYKJUmSJI2VgVXTytt+/fV856530vbOd7Bw7iyWLZpHc0P9Kdu874MfgnyuTBVKkiRJGisDq6aVeZ1tvO2bX4Jv/N25N8pkDKySJEnSFGDTJc08mSxBKncVkiRJki7AwKoZJ7IVBlZJkiRpCjCwasbJVFRiXpUkSZImPwOrZpyKyioi4GhtXblLkSRJknQeBlbNOFVVNQDs7ZhV5kokSZIknY+BVTNOdU0hsB5o7ShzJZIkSZLOx8CqGaeurjAv66Hm1jJXIkmSJOl8DKyacRoaCoH1WGNTmSuRJEmSdD4V5S5AmmgtTQ0A9NbXX9ZxjvcNsOnpXWzv2s0z+/bTc+woA33HyQ0O0Ng+m3eNR7GSJEnSDGZg1YzT1ly4stpXd/YuwSkl9h06ypPbdtK15xkOHDhIb89RBvt7ScODkB8hQ544676FYQvH9+0s3QlIkiRJM4SBVTNOZ3sLAIfndPBn99xL3/HjjAz0kXJDRH6ESIk4SxotLMqQMllSRR0VNXXUNzTS1t7GvLmzuWrJQhbM7uCDf/oxYrBnAs9IkiRJmp4MrJpx5na0Fa6E1lZwfM/TpAQRkMiQslVEZTVVdQ00NDbR0dHBovlzWLl0Ee0tjWM6fqaikjRQ4pOQJEmSZgADq2acmuoqfu7lr+LYe9/L0v/5F1y5ZAF1NdXjdvzKyiqGA47W1tE8bkeVJEmSZh4Dq2aklzz3JvjBt2HlsnE/dlV1NcPA3o7ZBlZJkiTpMjitjTTOqmtqAdjf1lHmSiRJkqSpzcAqjbO6YvfhQ82tZa5EkiRJmtoMrNI4a2wozO96rHFsTZokSZIknZ2BVRpnLcV5XnvrG8pciSRJkjS1GVilcdbWUgisfcWhwZIkSZIujV2CpXE2q71w7+pgTU1JX+fw0R7WbdnOjl17OHBgP8d7jjLU3wsjQ9S2dPKekr66JEmSVHolDawRcSfwcSALfDal9MenrV8MfA7oBA4Bb0opdUXEjcCngSYgB3w4pfT3xX0+D9wBHC0e5q0ppbWlPA/pYsxuawFguLryko+Ry+XY2rWXp7btpHvPXo4cPsxAbw+5oX7IDZMhT5xlvwxAgoHDey/5tSVJkqTJomSBNSKywKeAlwJdwEMRcV9KacOozT4K3JtS+kJEvBj4CPBmoA/4jZTS5oiYBzwcEd9JKR0p7veulNJXS1W7dDmqqypJCfKV5/7nday3j/VbtvP0jm727z9Az7EjDA/0kYYHiTRCpESclkhTgoggZSpIFXVU1tbT1NJKZ2cnyxbNZ9XyxdTX1vD+//ZRGO4t8VlKkiRJpVfKK6y3AltSStsAIuLLwKuB0YF1FfA7xcc/AL4JkFJ66sQGKaXdEbGPwlXYIyWsVxo3KSBfXclfffkfOHzoEP29PeQGT1wdzZ316mgAiSwpW02mupbahkZa29pYMGcOVy1bwuK5HWSz2Qu+dqaigjQ07qckSZIkTbhSBtb5wK5Rz7uA207b5jHgtRSGDf8y0BgR7Smlgyc2iIhbgSpg66j9PhwR7wO+B7w7pTRYgvqlS5bIkK3Ms3vT2sLzE1dHo4J8ZS1VtXU0NLYwq7ODpcWro83F6XAuV6aiinzAYLaC6nE54szRPzDIpqe72Lqzi7379nHsyBEG+46THx7i+Xe8mJeXu0BJkqQZptxNl34P+GREvBX4MdBN4Z5VACJiLvBF4C0ppXxx8XuAvRRC7D3A7wN3n37giLgLuAtg0aJFpTsD6SzuePm/Y8uff4J5/+k/cuXShSxfOHdMV0fHQ1V1NQM98ExbJ77zn5XP5+nad5Ant+6ga/deDh08SN/xY4wM9kNuiEg5InHGUGwSZAPWrFljYJUkSZpgpQys3cDCUc8XFJedlFLaTeEKKxHRAPzKiftUI6IJ+Bbw3pTSA6P22VN8OBgRf0Mh9J4hpXQPhUDL6tWr0zicjzRmL7n9Zl7ylS/A339+wl+7uqaWAeCZ9pkVWIeHR9i0vZunnt7Jnmee4djhwwz09RTuC84Pn+e+YEhRQaqso6K6jrrGJtrb21k0fy4rly1iXmc7H/jABxkZdpy1JEnSRCtlYH0IWBERSykE1TcAvzZ6g4joAA4Vr56+h0LHYCKiCvgGhYZMXz1tn7kppT0REcBrgHUlPAdpyqmrq+UocKilrdyljKvjfQNs2LydrTu72Ldvf6FRVX8vaWSweHX0zEAaCVJkSJlKoqqW6roGmlvbmDtnFiuWLOTKxfOpPE9zrBNSQMoNl+jMJEmSdC4lC6wppZGIeCfwHQrT2nwupbQ+Iu4G1qSU7gNeBHwkIhKFIcHvKO7+euCFQHtxuDA8O33N30ZEJ4UeNWuB/1Sqc5Cmoob6wr2wh5uby1zJxdl36AjrntrOju5uDh04SG/P0ZPDdTPpAo2qKqrJVNdR39BEW3s7CxfM5ZplS5g3q32cqgtSbmScjiVJkqSxKuk9rCml+4H7T1v2vlGPvwqcMT1NSun/Bf7fcxzzxeNcpjStNDc1AXC8oaHMlTwrl8vxdPczbNq6g669ezly6FBxXtmBc84r+2yjqiz5ynqqauuob2pmVucsli6cxzUrloxbo6oLSZGBfO7CG0qSJGlcjTmwRsTzgCWj90kp3VuCmiRdhtbmQmDtq5uYMAfPBtKNW7bTtXsPRw4XAmkaHiDyY5hXtrKeqroGmppbmDtnNiuWLGTlFYuoGsNw3QkRWch7hVWSJGmijel/gxHxRWAZhSG4Jy4zJMDAKk0ys9tbARiorRm3Y6aU6N53gCc2bWPX7j0cPniQ/uM95If6z9nQqDBcN0PKVpGpqqWmoZHW1jYWzJvLymVLWDKvk0wmM241llS2gsh7D6skSdJEG+vli9XAqpSS3XalSW5OZyGwDldXXdR++w8f4fFN29ixq5uDBw7Sd/woucH+cw7ZJUFEhpSpIlNdQ01DE23tHSyaP49rr1zK/HG7f7T8MtkKGPbjT5IkaaKNNbCuA+YAey60oaTyqq+tISUYqaw8ZfmRnl6eeGob23Z0ceDAfnqPHWVkoK8YSM9sajR6yC5VDVTXNdLS1saC+fNYtXzp1LpCepmylVXk+mEkouyTV0uSJM0kY/2/VwewISJ+BgyeWJhSelVJqpJ0eQLyDdW878N/es4uu882NaogVdZSVd9Ic0sb8+bO4epli1mxeB7ZbLYs5U82lVU15AP2tXYwr9zFSJIkzSBjDawfKGURksZXPirIxAiM9BcDaT2VdfU0tbQyZ/YcrrpiEVdfsWhMc5AKqmtqGAT2ts82sEqSJE2gMf1vNaX0o4iYDdxSXPSzlNK+0pUl6XL8P+/5fUbq6qgdHip3KdNCXV0tx4ADbee/L/fgkR4ef3Ir27u6OLD/AH3Hj5Eb7CMqKnkfhQmpJUmSNHZj7RL8euC/Az+k0PzzLyLiXcV5VCVNMpWVFVSO2NV2vDQU57Td19HJTx7dwNYdu9i/fz/Hjx0p3Ac8MnTO+4AzAZEb5EBzG7MnvnRJkqQpbazjAd8L3HLiqmpEdAL/DBhYJU17LU2FuW233nItW+/7XyeXP3sfcJZU2UBlXf3J+4BXLlvMVUsW8PHPfYme3VvZ2znLwCpJknSRxhpYM6cNAT4IzIz2oJJmvJ+//SYeXrOGzK5dNNxwA3Nmz+bKKxaz6opF1Fxg+qDaujp6gP2tHRNTrCRJ0jQy1sD6TxHxHeBLxee/CtxfmpIkaXKpq6nmfb/3TogoXFa9CI319ewDDje3lqY4SZKkaWysTZfeFRG/Ajy/uOielNI3SleWJE0PzU2NAPQ0Npa5EkmSpKlnzHNapJS+BnythLVI0rTT3toCwPGG+vIWIkmSNAWdN7BGxL+mlF4QET3A6HFwAaSUUlNJq5OkKW52e2Eo8EBtbZkrkSRJmnrOG1hTSi8o/ulYNkm6BHM6C4F1uLq6zJVIkiRNPWPq9BsRXxzLMknSqepra0gJRqoqy12KJEnSlDPWqWmuGf0kIiqA54x/OZI0DQXkK7Ljfti+gUE27+ge9+NKkiRNFhe6h/U9wB8AtRFx7MRiYAi4p8S1SdK0kAhS9tKmrj50pIdHNm5m+44uDh7cT1/PUdLwAJEfIVIiApb9u9fxpnGuWZIkaTK40D2sHwE+EhEfSSm9Z4JqkqRpJUUGsmefvzWlxK49+3nsyS3s7N7N0UMHGeztIY0MkEk54rTtIxWOlyqqiYpqGDjKvtmzSn8SkiRJZTDWeVjfExGtwAqgZtTyH5eqMEmaNiJLZHJ85f4fsHvPHnqOHma4vxdGBsmQPzOUAimypMp6KusaaG5tZ9GC+Vy/chmL580iorDH/sNH+J+f+DiDNTVnvKQkSdJ0MKbAGhH/AfhtYAGwFrgd+Cnw4pJVJknTRbaCTH6IjQ8VfseXEkQEKSpIVfXU1DfR3tnB0sWLuPGqZXS0NY/psG1NjaQEwzZ0kiRJ09SYAiuFsHoL8EBK6ecjYiXw30pXliRNH3e+4pX89FOfoeOVr2TF0kXcsHIZ9bWXf1U0m81CQK5qrB/lkiRJU8tY/5czkFIaiAgiojql9GREXFXSyiRpmnjeTdfwvL/+JHz2L8b92IWGTuPfgViSJGkyGGtg7YqIFuCbwHcj4jCwo1RFSZLGJhFwiR2IJUmSJruxNl365eLDD0TED4Bm4Nslq0qSNDaRhUy+3FVIkiSVxJh+LR8RXzzxOKX0o5TSfcDnSlaVJGlsslni9DbDkiRJ08RYhwRfM/pJRGSB54x/OZKkixHZCmK4dMfP5/Ns2bWHxzdupqt7N8eOHGKk/zjkhplzxUr+c+leWpIk6fyBNSLeA/wBUBsRx04sBoaAe0pcmyTpAjIVVSQKwTKTufR7WXfu3c9jGzazY1cXRw4dZKivpzBPbMqfcgX3xJQ8kRJ7d9nKQJIkldZ5A2tK6SPARyLiIyml90xQTZKkMaqsqmY44EhPL23Njefddv/hozyyfjNP79jJoQP7Geg9VgylOU4fVRxAikqoaaC2sZnOWbO5atkSbrx6OXU11bzvg38E+ZGSnZckSRKMfUjwtyPihacvTCn9+Hw7RcSdwMeBLPDZlNIfn7Z+MYV7YTuBQ8CbUkpdxXVvAf6wuOmHUkpfKC5/DvB5oBa4H/jtlFIa43lI0rRSVV3DMLBn/yHamhs51tvHoxs2s3nrDvYf2MfA8aOkoQEyaeSMUJoB8lFBqmqguqGJjs5Oli9ZzI2rVtDa1HD+F44M5HMlOitJkqSCsQbWd416XAPcCjwMvPhcOxTvc/0U8FKgC3goIu5LKW0YtdlHgXtTSl+IiBcDHwHeHBFtwPuB1UACHi7uexj4NPCbwIMUAuud2LFY0gxVW1dHL/D3f/dFIuWIxClDeANIZMlX1lFd10hbRydLFi3g5muuZHZ766W/cCYLuRLePCtJksTYp7X5pdHPI2Ih8LEL7HYrsCWltK24z5eBVwOjA+sq4HeKj39AYZ5XgJcD300pHSru+13gzoj4IdCUUnqguPxe4DUYWCXNUNeuvJLvb10PJFJFLZV1DTS3trNo4QJuXLmCRfM6iVK0Ec5kidzg+B9XkiRplLFeYT1dF3D1BbaZD+w6bZ/bTtvmMeC1FIYN/zLQGBHt59h3fvGr6yzLJWlGuuOW67nj1hsK3ZAmULaiijTUN6GvKUmSZp4xBdaI+AsKQ3OhcNvTjcAj4/D6vwd8MiLeCvwY6AbG5aaoiLgLuAtg0aJF43FISVJRtrKKXMBAtoKachcjSZKmrbFeYV0z6vEI8KWU0r9dYJ9uYOGo5wuKy05KKe2mcIWViGgAfiWldCQiuoEXnbbvD4v7LzjfMUcd+x6KU++sXr3apkySNI6qqmvoB3Z3zuGKchcjSZKmrTFN2lfs0Psl4FHgceChMez2ELAiIpZGRBXwBuC+0RtEREdEnKjhPRQ6BgN8B3hZRLRGRCvwMuA7KaU9wLGIuD0KN2X9BvAPYzkHSdL4qamtBWBvx+wyVyJJkqazMQXWiHglsBX4BPBJYEtEvOJ8+6SURoB3UgifG4GvpJTWR8TdEfGq4mYvAjZFxFPAbODDxX0PAX9EIfQ+BNx9ogET8J+BzwJbijXZcEmSJlhdfT0AB1vbylyJJEmazsY6JPh/AD+fUtoCEBHLgG9xgbCYUrqfwtQzo5e9b9TjrwJfPce+n+PZK66jl68Brh1j3ZKkEmhqbKAbONrcXO5SJEnSNDbWwNpzIqwWbQN6SlCPJGkKaGtuAqCnvuHksr0HDrPmiSd5esdOjhw6QG54iN9qaKa9XEVKkqQpb8xNlyLifuArFLoF/3vgoYh4LUBK6eslqk+SNAl1trcCsOfKJbzv7g+TSSOcPttrAP/7BS/mjRNenSRJmi7GGlhrgGeAO4rP9wO1wC9RCLAGVkmaQZbMn00CMhnIp0S+so6ahmY6Omdx5fKlHDnaw2P/9j16GhrLXaokSZrCxhRYU0pvK3UhkqSpo7mhnj/4g/eSraokm86cOeyhdU/xGNBXXzfxxUmSpGljrF2Cr4yI70XEuuLz6yPiD0tbmiRpMquqrCB7jnWzOwpDhgeK099IkiRdijEFVuCvKMyTOgyQUnqcwryqkiSdYV5HGynBcHVluUuRJElT2FgDa11K6WenLRsZ72IkSdNDRUXh2muu0sAqSZIu3VibLh0ozr2aACLidcCeklUlSZryUgSpYqy/F5UkSTrTWAPrO4B7gJUR0Q08Dfx6yaqSJE15iYCsgVWSJF26sXYJ3gb8QkTUUxhG3EfhHtYdJaxNkjSVRQYy+XJXIUmSprDz/uo7Ipoi4j0R8cmIeCmFoPoWYAvw+okoUJI0RWWyhBdYJUnSZbjQFdYvAoeBnwK/CbwXCOCXU0prS1uaJGkqi2wlMTI4pm17evv52RMbeWrLNg7u38dQbw/NnXP53RLXKEmSJrcLBdYrUkrXAUTEZyk0WlqUUhooeWWSpCktU1FJOi2vHuvt48HHN7J5y9McPLCP4d5jRG6ISImIUfsmOLrXu05Gy+VybNy2i7Xrn2LPnm76e4/za/MXsbzchUmSVEIXCqzDJx6klHIR0WVYlSSNRWVVNcN9cPeffZKR/uNnBNOUICJI2SqytY20dXSy/Iql3Hr9Sj72qc8Qw33lPYEyGR4eYe3Grax7ajN79+xhoOcoaXiATMqdEuoBvvWSV/Db5SlTkqQJcaHAekNEHCs+DqC2+DyAlFJqKml1kqQpq6mllYNH9pLvOXgymFbUNtLa0cmKZVdw6/UraW1qOOu+mYpKGJrggifY8PAIj2zYwrpNm3lm7x4Gjh+F4QEyKX9KMA0gRQXUNFHX3Mr8+fOZN2cWP7r/mwzU1ZatfkmSJsJ5A2tKKTtRhUiSppf/+Guv5eGbb2PlT35MS2P9Re2bragiHzCYraC6RPVNlOHhEdZs2MyGTVvOG0wzQD4qidomGlvbWbxwAauvv5rF82afccyRkRw//NY3GaqumrgTkSSpDMY6D6skSRelsrKC29c9AhcZVgGqqmsY6IG97Z0sLkFtpTA0PMLDG55i/aat7NtbGMrLyPmDaVNrO4sXL+KW669m4ZzOMb9WRUXh98m5yspxPgtJkiYXA6skadKpqa1lANjbOXvSBdah4RHWrH+KDZu2su+Z3Qz0HDt3MM1UEtVNNLW1s3jRYm698WoWzOoYlzpSBKnSgVCSpOnNwCpJmnTq6+s5AhxoaS9bDSeD6ZNb2LfvxBXTwXMH05ommlo7WLJ4MbfcsHLcgum5JAKyceENJUmawgyskqRJp7Gh0IzpSEtLyV8rl8vxxFPbWbthE3t2d9Pfc+TczY8ylURNM01t7SxZtJjbbriaebPKFKojC5l8eV5bkqQJYmCVJE06ba3NAPQ0NI7rcbd3P8ODa9ezc9cujh85SBrqI5PPneOKaTPNbR0sWbyIW68vYzA9l2yWyA9feDtJkqYwA6skadKZ1d4CQF993SXtf+DwMR5Yu54t257m6KED5PqPk0nDjB5AGwlSpoJU20RDcxuLFi/mtuuvZvH8M7vyTkaRrSDMq5Kkac7AKkmadOZ0FK5mDlbXnHe7voFBHnxsI09u3sqBfXsZ7ushckNkSCe3SQmIDPnKOuoaW5k7fx43XbOKa5YvJJuduk2LshVV5CkMab6Y88jlcqzfupNH1z1ZGAJ97DBpZIiX3Hgbd5SuXEmSLomBVZI06XS0NJISDFcXpm3J5XKsfXIbj23YxN49uxnoOXJGA6SUICJI2Wqy9U10zp7DNVct59brr6aqcvr9uKuoqmE44NCxHjpbW85Yn1Jiy67drHlsI11dXRw/epA01H/GEOigMAz64ZufY2CVJE060+8nuCRpystmsxCQa67lfR/8EJl0ZshKmSqitoG2jlmsuGIpt924itamhrLVPNFqamoZBnbvO8TQ0AgPPraB7Tt2cOzQQfKDvWTSyKlDoIEUWVJNIw0t7SxcuJBbrl9Fc2M9n/z4/2Cw5vxXsyXpQnbvO8jPHt/Ijp27OHroIMMDPWRywwSJt8xZwNJyF6gpycAqSZqU8plKMrlhUgTUNNHQWmiAdNuN17BgdmmnjJkK6urr6AG+8eUvnhJMSUBkSVX11DS1Mn/+Am6+diUrly4469DhXC5XvJpdNUGVS5rKcrkcm57uYu3GzXR3d9F79DD5wb4zfkmWEmQiSGTIkOOxldcaWHVJDKySpEnpA+99N2SzZFK68MYz0HNX38DXNj0B1bXUNLYwZ848rrv6Sm66ehkVFWO/p/Xk1expOGxa0qUbGBzi4Q1b2PjUVvbv20t/z9HilF+njnhhVJ+AmoZmOmfN5qoVV7D6miupq6nmG9/9Fx7/yfc50tJarlPRFOdPJ0nSpJTJZMpdwqR2w1XLuOGPPlDsKnV5EkGq8PstzUQHDx/jZ+ueZNvTOzh0YB/DfceJ3CCR0plTfkUFqbqRuuZW5s2bz3Url3Pt8sXnbfw2q70NgGONM+eWDY0vA6skSTNcigxkvZItTWdPd+3l4XVPsnNXFz1HDpIb6CXyw4z+VdXJ5nWZSjK1DTS3trNo0UJWX7OSRfM6L+l15xdv4eivu7RpyqSSBtaIuBP4OJAFPptS+uPT1i8CvgC0FLd5d0rp/oj4deBdoza9Hrg5pbQ2In4IzAX6i+tellLaV8rzkCRpWossRK7cVUi6TLlcjk07ulm7/im6u3Zx/OjhQnfws9xfSmRIFbVk6xpp75zFiiuW8Jxrrxr35nULZneQEgzVVI/rcTVzlCywRkQW+BTwUqALeCgi7kspbRi12R8CX0kpfToiVgH3A0tSSn8L/G3xONcB30wprR2136+nlNaUqnZJkmaUbAWRGyp3FTPS8PAIld4/rIuUy+V48uldPLr+Kbq7u+g7doQ01Fe4v3TUdpGK3cGrGqhpbGbWnLlcc+Uybrp6+YRN91VRUbxPvqpyQl5P008p36m3AltSStsAIuLLwKuB0YE1AU3Fx83A7rMc543Al0tYpyRJM1qmohLGIa92P3OAnz66joOHj/D2CO87GqWnt58HH9/Ipi1bObRvH0P9xwrTfaTEkutu4a3lLlCTUi6XY92WHTy24Sn27N5N37HDpOGzz6ecIlu4v7SplXnz53PTNVedszv4RCvcJ1/+OjQ1lfJnyXxg16jnXcBtp23zAeB/R8RvAfXAL5zlOL9KIeiO9jcRkQO+BnwoJVtISpJ0qbIVVeQDBoeGqR7DVZD+gUF+9sSTbNi0mQPPPMNw3zEiP3TKvXD3/fwreG3pSp60hodHWLNhM+s3bmbfM3sYOH6UGBk4pYHNyek+slVkcoPs3d1d3qJVdrlcjsef2s7jG55i755u+nqOkIbO7MhbCKYVpJpG6pvbmL9gPjdfczVXLpk3qRvVJbxPXpeu3L/8fCPw+ZTSn0XEc4EvRsS1KaU8QETcBvSllNaN2ufXU0rdEdFIIbC+Gbj39ANHxF3AXQCLFi0q9XlIkjRlVVfX0N8De/YfYsn82SeXp5R4akc3D63dQHf3LnqPHipOa5E/JXxFBKmilsqGZjIVFQwe6OJgW3uZzmbiPN21lwfXrmfnzp30Hj1UvFfwLAEjU0W2rpG2jllcuewKbr9pFU31deRyOf7ojz7E0NBg2c5BE2tkJMfaTVtZ9+Rm9uzezUDPUdJZpoo5EUypaaK+uY0FCxbwnGtXsnzxPOKUOWWmiEwWMt4nr0tTysDaDSwc9XxBcdlobwfuBEgp/TQiaoAO4EQTpTcAXxq9Q0qpu/hnT0T8HYWhx2cE1pTSPcA9AKtXr/ZXOpIknUNNXR39wHf/5QH6+vo4cnAfuf5eMmn4lPvhCtNaVBJ1zbR2zGLFsqU87+ZraW6oP7nNQ48/yf3f+Ht66+tPf5kp61hvHz95ZB2btzzNoQP7yA30kMmf+r15NmA009TWwdKlS7jthlXM7Ww753FPzoE7PHXvHz56vJefPLKeLduK35v+wvcmT4a7y11cGY2M5Hh04xbWPfkUe/fupb/nyBm/7IFT3zcNLW0sXLiA51y3imUL55Sr9NI4y33yA4NDPLT+KTY+tZUDz+xl4PhRGBli6TU38rYylanJqZSB9SFgRUQspRBU3wD82mnb7AReAnw+Iq4GaoD9ABGRAV4P/NyJjSOiAmhJKR2IiErgF4F/LuE5SJI07TU1NnIY2L1pLTCqg2hlPbXNbSxYuJBbbljFlYvnX/BYc4pTWAzU1pau4BLJ5XKsfXIbj23YxN7d3ecczktkyFfWUdfYytz583nO9au4+hLvFUwEKTc8vidSAkPDIzz0xCbWbdrM/r17GOo9dsZcnYWr7RkSQZY8x6tqmO4zb+ZyOTZt7+KRJ56ku7ubvmOHzjqU9+Qve2obaWhpZ/Gihay+7upTRjRMZ9mKKtJQHx/+2GcY7D1GjAwSZwnvkWDHti1lq1OTU8kCa0ppJCLeCXyHwpQ1n0sprY+Iu4E1KaX7gN8F/ioi/iuFBkxvHXU/6guBXSeaNhVVA98phtUshbD6V6U6B0mSZoLXvPxF/OU/f5emF/wcq666kluvu5LaS5yCYm57KynBcE3VOFc5vrqeOcADj65j+46d9Bw+UOiwerZGNsXhvB2z5nD1lcu57YarqRvH6TkSGciNjNvxLlcul2Pjtp08/MST7NndTd+xw+e4Mli4B7eirpGOztmsHPW9+ehnvkDvM9vpmj2fleU7lXG3o3sfP3tiPTt27OL4kYPkB/vOmC5m9BXTxrZ2lixaxC03rGLhnEubw3S6qG1oor//CCNHnzn57ypTU09zWwdLlyzhlutXMq+zjfd/8G7SFB5xoNIo6T2sKaX7KUxVM3rZ+0Y93gA8/xz7/hC4/bRlvcBzxr1QSZJmsJbGen7/Lz8On/nYZR/r5BQWk2Sqlr6BQR5Yu5GNm7dwcN9eRvp6zmgQFQlSJkuqbaKxpZ0lixdx283XsWDWBNyHm8lCvjyB9URX5x07dtJz+CD5od4zpkV59spgE83tnVyxZAnPvfkaOlubz3nc2vp6eoG9nbOmZGDdf/goD6xdz7Zt2zlyaD+5gd4zhoCTgMiSqhqpa2llwYIFrL5uFSum6j2mJfaOt72RB+54Gdd9+x+Y1d56zu0SUbZ/D5q8JsdPE0mSNG2UYwqLlBKbtnfzs7Xr6e7aSf+xIzByngZRjS3MmTuPG69dyQ1XLi3f1B/ZCiJf2itKg0PDPPj4RtY/uZkD+/Yy3HtmV+eTAay60H124aKF3HL9NZd0L2VTQwMHgAOTvPHWyamGNm/l0P5nGO7vIXLDZHi29cnoIeC1jS3MnTefG1ZdxfVXLpkU08VMFfW1NbzkoX+B84RVoPgLHJsz6VQGVkmSNK4SAdnSTbHRPzDIT9duZMNTT3Fw3zMnG/2ccWUwU0nUttDWMYurli872Z13MslWVJLGMa9u3lno6rxr1y76jh4qzNk5waG9raWFbcCR5nNfhZ1IQ8MjrFn31Mn7bwv3UJ55b3JEkLLVVNQ30zlnNquuXMEt1101pqmeNE6ylYRXWHUaA6skSRpfmSxk8uNyqF17D/DTR55gx47tHD9ysDh1TP4sTZDqqW9pY+HChTz3xutYOkW6rFZUVjMS0FtVzcX0VT7W28dPH1nPpi1bOXxgH7mB4+foXFzo6tzS3smK5Vfw3BuvobWptK2QZrW3ANBbP7Etl/L5PE9u38WaxzbS3bXr/J15R081tHwZt9949aT7ZcZMVPgFTl+5y9AkY2CVJEnjK1NBxMV1vh0ZyfHI+s08umEj+4pdaDO5wVPvNaXQ0CbqmmnrmMXKq1bwvJuuob62ZlzLn0hVNbWMHIPdnXNYcZb1uVyO9Vt38vATG9jT3c1Az5HzdC6up665lQULFnLL9au4csn8stxPOXdOoVN0f13pAuDhY8f5ycPr2LxtG0cP7i8E9tMaIJ1+/+3SJUt47o1Xn/ceSpXXKb/AcX5iFRlYJUnSuMpkK2G4/5zrDx3p4V8ffpwt257m2KH95Ad7T+nQmxJkIkgVNVQ2tjJv/gJWX7+KVcsWkcmUbqhxOdTV19EH7OmcQ8vhI/zkkfVs2/Y0Rw8dKHxfztaFdlTn4lVXLee266++5K7OpTCenaJzuRyPbNzKY+s38cyebgaPHz3rdDpEhlRVT11zGwsXLeLWG66dfnOZzgDVtXWMHIOdcxZw9c6t5S5Hk4SBVZIkjatsVRW5gcJV0yef7mLN4+vZ3b2LgZ4z5zU90eyH2iYa2zpYdsUVvODm62hvbSrnKUyYhmKDou+/+hX84BMff3bFqCZIDS3tLFm8mNtuumZKTI+SzRY6RY9cZKfosU019Ox0Op2z53HNyhXcdv1KqiZJV2pdnrqTHaZnG1h1kv+6JUnSuKqsqiEf8KEPf+jMq4PZairrm+icPY8br1nJc65ZUZgKZ4a6/ebr2bruERgaprpzLrPmzOX6q6+a8t+X83WK7h8Y5GePb2T9pi0c3PcMw31ndi0+MdUQtU00tHZwxdKlPPfma5jjcN5pramxkf3A/raOcpeiScTAKkmSxtX111/HA//cRdTWU9fSzuJFi3nec66bElcHJ9pVSxZw9/v+ECKKY1unh0QGsolN27t4aO0Gurt30Xv00BlNkM7oWjxvPjdds9JpY2aottYWtgIbr7+W3Hfvw3eAwMAqSZLG2StfeCuvvOO2aRXAdJEyWbIVOb78hb9+dhHFJkjFplnLl1/B82++1u68OmnJ/Dk8BNBYxTd+4Rd5XbkL0qRgYJUkSdK4Wnr19Wxf8wB1i5aycMFCbrlhFSsWzy93WZrkVi1fTOO8ZfTs3sq+DkdkqMDAKkmSpHH1ttf9O/j3v+hVdl20l//8z/HVv91KX/3FzEys6Wx69YaXJEmSNGUtnjcbgMEpPL+yxpeBVZIkSdKk0FBXQ0owUn358/hqenBIsCRJkqRJIwH5SnsEq8ArrJIkSZImjZSACmOKCrzCKkmSJGnyyAOZGJdDDQwO8eBjG1i3aTMH9z3DFcuv5E3jcmRNFAOrJEmSpMkjlyeyF3+FdXv3M/z00XXs3LmDvqOHSEP9ZFKeGJV9n3rsoXEsVBPBwCpJkiRp0siM5KDq3IH1xFXT9Zu2cGDfXkb6esjkhxh9TTaAFBVEXTOtHbO4avky/u2H/0zkh0tev8aXgVWSJEnSpJEdGiZXV8ng0DB79x/iJ4+uY9fOnfQePXjGVdOUICJDvqKW2qZW5s1fwC03ruLqpYuIOHVY8U/+9UfE0FAZzkiXw8AqSZIkadKo7h+gv7WOj3zkv53jqmkTrR2zWbH8Cp5/87U01deN6biZyirSYC85wB7EU4eBVZIkSdKkccPjj/Nvs18E1c9eNV19/SquvmIhmcyldw+urKplOA5zoLmN2eNXrkrMwCpJkiRp0nj5Az/k5Q/8sDi/zfipratj+DDsmjPfwDqFOMGRJEmSpGmvoaEBgH0ds8pciS6GgVWSJEnStNfc3ATAodbWMleii2FglSRJkjTtdRaD6tHG5jJXoovhPaySJEmSpr25szoA6G84tatwPp9nw9adPPTYevZ0dzE00M9/aWiirRxF6gwGVkmSJEnT3sK5hcDa09rEp+79Xxzct5eRvh4yafiM6XP+6ed+gV8rS5U6nYFVkiRJ0rRXX1tDAjJ1lRx4ekOhCXFkSJX11LW0s2TJErKZYN2DP+JoU1O5y1WRgVWSJEnSjLDk2ls4et99rPwPb+d5N19LY33tKevXbd7Ougd/RG+xo7DKr6RNlyLizojYFBFbIuLdZ1m/KCJ+EBGPRsTjEfHK4vIlEdEfEWuLX58Ztc9zIuKJ4jE/ERFx+nElSZIk6XRv/ZVX8tv3/iUv/7lbzgirAAvndgIwWFsz0aXpHEoWWCMiC3wKeAWwCnhjRKw6bbM/BL6SUroJeAPwP0et25pSurH49Z9GLf808JvAiuLXnaU6B0mSJEkzR3NDPSnBSHVVuUtRUSmvsN4KbEkpbUspDQFfBl592jYJODFAvBnYfb4DRsRcoCml9EBKKQH3Aq8Z16olSZIkzVgpIFeZLXcZKiplYJ0P7Br1vKu4bLQPAG+KiC7gfuC3Rq1bWhwq/KOI+LlRx+y6wDElSZIk6ZIkMpAt6Z2Tugjl/pt4I/D5lNIC4JXAFyMiA+wBFhWHCv8O8HcRcVGtuiLirohYExFr9u/fP+6FS5IkSZqGIgtZ2+RMFqXsEtwNLBz1fEFx2Whvp3gPakrppxFRA3SklPYBg8XlD0fEVuDK4v4LLnBMivvdA9wDsHr16nTZZyNJkiRp+stWEPnhC26Wy+V4YvN2Hlq7jr17ugmC9wAOJh5fpQysDwErImIphVD5Bjhj/t2dwEuAz0fE1UANsD8iOoFDKaVcRFxBobnStpTSoYg4FhG3Aw8CvwH8RQnPQZIkSdIMkqmohOH+U5blcjkeXreZR9ZtYN/e3Yz0HSOTH+b067Db5y1i2cSVOiOULLCmlEYi4p3Adyj8ouFzKaX1EXE3sCaldB/wu8BfRcR/pdCA6a0ppRQRLwTujohhIA/8p5TSoeKh/zPweaAW+HbxS5IkSZIuW7aymlw/fPILX+Hgvr3k+nvI5Ec4MZlmSkBkSFX11Ld2sHzZcrZv386x3VvpnjXXwDrOSnmFlZTS/RSaKY1e9r5RjzcAzz/Lfl8DvnaOY64Brh3fSiVJkiQJausb6O3Zz8HtG58NpzWNNLZ1ctWVK3jhLdfTVF93yj73fqOHY7u3sr+tvTxFT2MlDaySJEmSNJW8+Vd+ia//1u+w7B3v4AWrr6OupvqC+7S2tPA0cKSltfQFzjAGVkmSJEkqmt3Ryv/55c/Dl/5mzPvM6WgDoKexsURVzVzlntZGkiRJkqa0BXNnATBQV1vmSqYfA6skSZIkXYZZrU2kBEPVFx4+rItjYJUkSZKky5DNZiEgV+Udl+PNwCpJkiRJlykRpIpsucuYdvwVgCRJkiRdphRZyKZTlu165gD/8rO11NZW88tlqmuqM7BKkiRJ0uXKZInMCH/yqb+m98hBYmSADIUAmxK8CvD668VzSLAkSZIkXaZMZQ2ZgIEDXWRG+knZKipaZpOrrCMCDjS3lbvEKckrrJIkSZJ0md70htfzb7/1X7nlz/+UVcsWn1z+55/9W451b2HXnPnMLmN9U5VXWCVJkiTpMi1fPI+3/H9fOSWsAjQ0NADwTMescpQ15RlYJUmSJKlEWpqbADjU5pDgS2FglSRJkqQS6WxvBeBYY1OZK5maDKySJEmSVCJzZ3UA0FdfX+ZKpiYDqyRJkiSVyOK5hXtXB2prylzJ1GRglSRJkqQSqamuIiXIVVWWu5QpyWltJEmSJKmEUgSpMlvuMqYkA6skSZIklVAiAxWJr9z/fXZ1dfO6X3w5iy+8m3BIsCRJkiSVViZLNgsbH/oXju/Zxlf+4VvlrmjKMLBKkiRJUgldf8tzyR7qY8HKm0kJBvr7yl3SlGFglSRJkqQSet2dL+IPP/GnvP1XfwkCRoYGy13SlGFglSRJkqQJkghSbrjcZUwZNl2SJEmSpAmSyEBuZMJeL5fLsWbdZh5a+zgH9u4mP9jHi1a/gBdPWAWXx8AqSZIkSRMlk4V86QLr7n0H+cFPH2bH9qcZOHaITH6IOLEyQTbg4ZtuNrBKkiRJkk4V2UrID43LsYaGR/jxmsd5Yt0Gjhx4BoZ6iZSIYkINglRZT2PHLK69+mqee/M1/PlH/zsDtTXj8voTwcAqSZIkSRMkU1lFGuq9pH03be/iX3/2KN27djDSe5RMfmRUOIV8ppLKhlYWLVnKi25/Dovmdp5xjATkqisv/QQmmIFVkiRJkiZIZXU1w31wsKGZ9vNsd6y3j+//9BGeemozxw/vJ0b6T3bMTQmIDNQ20TZrLjffcB2337CSbDZ7wddPBKniwttNFgZWSZIkSZogNbX1DB+GnXPmnwysuVyORzZu5WePPsaBPbvJ9feQSbmTV08zQD5bQ3VLO8uXLefnb7+Z9tamS3r9RAayaVzOZSIYWCVJkiRpgjQ01NMDfP+On+fbn/jLQmOk3LONkVICMlmirpU58xfy3NU3cN2KpUTEeY56ETJZyOTG51gTwMAqSZIkSROkrbWVPcDxhZ1weC9BkK+so6l9FqtWruRFt91IXU116QrIVhC58Wn6NBFKGlgj4k7g40AW+GxK6Y9PW78I+ALQUtzm3Sml+yPipcAfA1XAEPCulNL3i/v8EJgL9BcP87KU0r5SnockSZIkjYdfevHz2blrF23/+C1e9KmPsWTBnAl9/WxlNWmob0Jf83KULLBGRBb4FPBSoAt4KCLuSyltGLXZHwJfSSl9OiJWAfcDS4ADwC+llHZHxLXAd4D5o/b79ZTSmlLVLkmSJEmlUF1Vye/85pvhrt+Af/jyhL9+ZVWh6dOhoz20NTeesX7/4aP887+t4eltW1my9Ap+bcIrPFUpr7DeCmxJKW0DiIgvA68GRgfWBJy4W7gZ2A2QUnp01DbrgdqIqE4pDZawXkmSJEma1mrq6hk+Ajv37Ke5oY6frdvEmkef4ODe3eQHj5NJ+ZPNnp48XP6BrKUMrPOBXaOedwG3nbbNB4D/HRG/BdQDv3CW4/wK8MhpYfVvIiIHfA34UErpjDZXEXEXcBfAokWLLvUcJEmSJGnaaGhooAf4+lf+jm+m3MlmTyQgU0G2oY35ixaz/ckniPxw+QotKnfTpTcCn08p/VlEPBf4YkRcm1LKA0TENcCfAC8btc+vp5S6I6KRQmB9M3Dv6QdOKd0D3AOwevXqqdO3WZIkSZJKZOWKK9i96TGCPPnKepo7ZnHdqlXccesNVFdVntzuA3+yGQbK35yplIG1G1g46vmC4rLR3g7cCZBS+mlE1AAdwL6IWAB8A/iNlNLWEzuklLqLf/ZExN9RGHp8RmCVJEmSJJ3qhauv57m33kRl/vxT22Qrq8kPwEC2gprcyARVd6ZMCY/9ELAiIpZGRBXwBuC+07bZCbwEICKuBmqA/RHRAnyLQtfgfzuxcURURERH8XEl8IvAuhKegyRJkiRNK5WFAa3nVVNbB8CuOfMvsGVplSywppRGgHdS6PC7kUI34PURcXdEvKq42e8CvxkRjwFfAt5avB/1ncBy4H0Rsbb4NQuoBr4TEY8Daylcsf2rUp2DJEmSJM1EdfX1AHTPnlfWOkp6D2tK6X4KU9WMXva+UY83AM8/y34fAj50jsM+ZzxrlCRJkiSdqqmpkQPA/raOstZRyiHBkiRJkqQpqL21FYAjLS1lrcPAKkmSJEk6xZzOdgCONzSUtQ4DqyRJkiTpFAvnFoYC99fXlrUOA6skSZIk6RRtTY2kBMPV1WWtw8AqSZIkSTpFNpuFgHxlSfv0XlB5X12SJEmSNCnlyUBFKmsNXmGVJEmSJJ0pMpCJspZgYJUkSZIknSlbQZQ5MRpYJUmSJElnyGSrKO/1VQOrJEmSJOksslWFDsGD2fK1PjKwSpIkSZLOUF1TSwR0d84pWw0GVkmSJEnSGerq6wHomjO/bDU4rY0kSZIk6QyNjY0cBPa3t593u6e79/K9f32I7p1PU1NbN641GFglSZIkSWdoa21hO3C4pfWU5Ws3buVff/Yw+/d0weBxMhTmak0J+oaHxrUGA6skSZIk6QxzOgtXVvfMn8//uOeLHNm/lxjpO3lfaSTIZyupbGpn+YqreOkLVtPa1MDd733XuNVgYJUkSZIknWHR3FkA5Nvq6NmzjQyQz9ZQ29bJtddcw0ueezPVVZUlrSFSSiV9gckgInqATeWuQ7oIHcCBchchjZHvV001vmc11fie1VRzVUqpcTwONFOusG5KKa0udxHSWEXEGt+zmip8v2qq8T2rqcb3rKaaiFgzXsdyWhtJkiRJ0qRkYJUkSZIkTUozJbDeU+4CpIvke1ZTie9XTTW+ZzXV+J7VVDNu79kZ0XRJkiRJkjT1zJQrrJIkSZKkKWZaB9aIuDMiNkXEloh4d7nrkQAiYmFE/CAiNkTE+oj47eLytoj4bkRsLv7ZWlweEfGJ4vv48Yi4ubxnoJkoIrIR8WhE/GPx+dKIeLD4vvz7iKgqLq8uPt9SXL+krIVrxoqIloj4akQ8GREbI+K5fs5qsoqI/1r8P8G6iPhSRNT4OavJJCI+FxH7ImLdqGUX/ZkaEW8pbr85It4ylteetoE1IrLAp4BXAKuAN0bEqvJWJQEwAvxuSmkVcDvwjuJ7893A91JKK4DvFZ9D4T28ovh1F/DpiS9Z4reBjaOe/wnw5yml5cBh4O3F5W8HDheX/3lxO6kcPg78U0ppJXADhfevn7OadCJiPvBfgNUppWuBLPAG/JzV5PJ54M7Tll3UZ2pEtAHvB24DbgXefyLkns+0DawUvglbUkrbUkpDwJeBV5e5JomU0p6U0iPFxz0U/hM1n8L78wvFzb4AvKb4+NXAvangAaAlIuZObNWaySJiAfDvgM8WnwfwYuCrxU1Of7+eeB9/FXhJcXtpwkREM/BC4K8BUkpDKaUj+DmryasCqI2ICqAO2IOfs5pEUko/Bg6dtvhiP1NfDnw3pXQopXQY+C5nhuAzTOfAOh/YNep5V3GZNGkUh/HcBDwIzE4p7Smu2gvMLj72vaxy+xjwfwP54vN24EhKaaT4fPR78uT7tbj+aHF7aSItBfYDf1Mcyv7ZiKjHz1lNQimlbuCjwE4KQfUo8DB+zmryu9jP1Ev6rJ3OgVWa1CKiAfga8H+llI6NXpcK7btt4a2yi4hfBPallB4udy3SRagAbgY+nVK6Cejl2aFqgJ+zmjyKQyJfTeEXLfOAesZw1UmaTEr5mTqdA2s3sHDU8wXFZVLZRUQlhbD6tymlrxcXP3NiCFrxz33F5b6XVU7PB14VEdsp3FrxYgr3BrYUh67Bqe/Jk+/X4vpm4OBEFixR+K19V0rpweLzr1IIsH7OajL6BeDplNL+lNIw8HUKn71+zmqyu9jP1Ev6rJ3OgfUhYEWxw1oVhZvX7ytzTdKJ+//+GtiYUvofo1bdB5zolvYW4B9GLf+NYse124Gjo4ZfSCWVUnpPSmlBSmkJhc/R76eUfh34AfC64manv19PvI9fV9zeq1iaUCmlvcCuiLiquOglwAb8nNXktBO4PSLqiv9HOPF+9XNWk93FfqZ+B3hZRLQWRxa8rLjsvGI6v78j4pUU7r3KAp9LKX24vBVJEBEvAP4FeIJn7wn8Awr3sX4FWATsAF6fUjpU/OH1SQrDg/qAt6WU1kx44ZrxIuJFwO+llH4xIq6gcMW1DXgUeFNKaTAiaoAvUrg3+xDwhpTStjKVrBksIm6k0CisCtgGvI3CL+r9nNWkExEfBH6VwkwCjwL/gcK9fX7OalKIiC8BLwI6gGcodPv9Jhf5mRoR/weF//cCfDil9DcXfO3pHFglSZIkSVPXdB4SLEmSJEmawgyskiRJkqRJycAqSZIkSZqUDKySJEmSpEnJwCpJkiRJmpQMrJIklVBE5CJibUSsi4j/LyJaSvx6b42IT5byNSRJmigGVkmSSqs/pXRjSulaCnMmvqPcBUmSNFUYWCVJmjg/BeYDRMSNEfFARDweEd+IiNbi8h9GxOri446I2F58/NaI+HpE/FNEbI6IPz1x0Ih4W0Q8FRE/A54/4WclSVKJGFglSZoAEZEFXgLcV1x0L/D7KaXrgSeA94/hMDcCvwpcB/xqRCyMiLnABykE1RcAq8a5dEmSysbAKklSadVGxFpgLzAb+G5ENAMtKaUfFbf5AvDCMRzreymloymlAWADsBi4DfhhSml/SmkI+PtxPwNJksrEwCpJUmn1p5RupBAugwvfwzrCsz+fa05bNzjqcQ6oGI8CJUmarAyskiRNgJRSH/BfgN8FeoHDEfFzxdVvBk5cbd0OPKf4+HVjOPSDwB0R0R4RlcC/H7eiJUkqM38zK0nSBEkpPRoRjwNvBN4CfCYi6oBtwNuKm30U+EpE3AV8awzH3BMRH6DQ0OkIsHb8K5ckqTwipVTuGiRJkiRJOoNDgiVJkiRJk5KBVZIkSZI0KRlYJUmSJEmTkoFVkiRJkjQpGVglSZIkSZOSgVWSJEmSNCkZWCVJkiRJk5KBVZIkSZI0Kf3/aR/I/G58m6EAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"run(data_loss=0.03, **community_suggestion)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"id": "de2f939c-a1e7-4d03-976e-31fe96d74126", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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\n", | |
"text/plain": [ | |
"<Figure size 432x288 with 1 Axes>" | |
] | |
}, | |
"metadata": { | |
"needs_background": "light" | |
}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"run(data_loss=0.03, **new_params)" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"id": "29620336-7f7e-4cd1-9d71-8ad07cdcb1ec", | |
"metadata": {}, | |
"source": [ | |
"*What is the chance that a low reputation is the result of sampling error, instead of reflecting\n", | |
"an actual excessive data loss?*\n", | |
"\n", | |
"According to https://stats.stackexchange.com/a/2074 we should be able to estimate useful confidence intervals using a Normal approximation with `variance=(alpha*beta)/(((alpha+beta)**2)*(1+alpha+beta))`. If we want a confidence level of 99% then z=2.576 (normal.invcdf(1-0.01/2)).\n", | |
"\n", | |
"Call the reputation (the sample mean assuming a beta distribution) r, the variance v, and the number of observations (audits that affected alpha or beta) n.\n", | |
"\n", | |
"Then the confidence interval is r +- z*v/sqrt(n)" | |
] | |
} | |
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